阅读说明：本技术 一种可扩展的量子信息处理系统及方法 (Extensible quantum information processing system and method ) 是由 龚牧桑 宋婉露 刘海滨 蔡建明 于 2019-09-03 设计创作，主要内容包括：本发明公开一种可扩展的量子信息处理系统及方法,涉及量子计算技术领域,结构包括：柱状的金刚石样品、光学系统,微波系统,磁场系统,碳纳米管双量子点样品,低温系统,数据采集系统,电操控系统。本发明提出一种碳纳米管-自旋的混合量子系统,在每组氮空位中心与量子点所在的区域施加有微波信号和磁场,每组的氮空位中心的电子与量子点之间存在磁偶极-偶极相互作用；通过对磁场和微波信号操控,使得两个相距微米量级的氮-空位中心之间可以通过碳纳米管的作用实现间接耦合,实现远距离的两个氮-空位中心之间的量子纠缠,从而提供一种可扩展的量子信息处理方法。(The invention discloses an extensible quantum information processing system and method, relating to the technical field of quantum computation, and the structure comprises: the device comprises a cylindrical diamond sample, an optical system, a microwave system, a magnetic field system, a carbon nano tube double quantum dot sample, a low-temperature system, a data acquisition system and an electric operating system. The invention provides a carbon nano tube-spinning mixed quantum system, wherein a microwave signal and a magnetic field are applied to a region where each group of nitrogen vacancy centers and quantum dots are located, and magnetic dipole-dipole interaction exists between electrons of each group of nitrogen vacancy centers and the quantum dots; through controlling the magnetic field and the microwave signal, the two nitrogen-vacancy centers which are separated by the micron order can realize indirect coupling through the action of the carbon nano tube, and the quantum entanglement between the two remote nitrogen-vacancy centers is realized, thereby providing the extensible quantum information processing method.)

1. A scalable quantum information processing system, comprising: a plurality of quantum information processing units; each quantum information processing unit comprises two diamond micro-columns, a carbon nano tube and a substrate;

a gate circuit, a source electrode and a drain electrode are deposited on the substrate, the gate circuit is laid on the substrate, the source electrode and the drain electrode are respectively positioned at two ends of the substrate, and the height of the source electrode and the height of the drain electrode are higher than that of the gate circuit;

the carbon nano tube is placed on the substrate, two ends of the carbon nano tube are placed on the source electrode and the drain electrode at two ends of the substrate, so that the carbon nano tube forms space distribution with high two ends and low middle, and two quantum dots are formed in the carbon nano tube by controlling the voltage of the gate circuit, the source electrode and the drain electrode, wherein one quantum dot is positioned on the carbon nano tube between the source electrode and the gate circuit, and the other quantum dot is positioned on the carbon nano tube between the gate circuit and the drain electrode;

the two diamond micro-columns are respectively positioned right above the two quantum dots, and each diamond micro-column contains a nitrogen vacancy center to form two groups of nitrogen vacancy centers and quantum dots;

applying a microwave signal and a magnetic field to the region where each group of nitrogen vacancy centers and quantum dots are located, wherein the microwave signal is used for controlling the state of nitrogen vacancy center electrons, and the magnetic field is used for enabling the energy level of the nitrogen vacancy center electrons to generate Zeeman splitting; magnetic dipole-dipole interaction exists between electrons in the nitrogen vacancy center of each group and the quantum dots; through controlling the magnetic field and the microwave signal, electrons at the centers of the nitrogen vacancies in the two diamond micro-columns can realize indirect coupling through two quantum dots formed in the nano-tubes, and further realize the entanglement of the electrons at the centers of the two nitrogen vacancies.

2. The scalable quantum information processing system of claim 1, wherein the electron spin entanglement strength between two nitrogen vacancy centers is in an opposite trend to the current magnitude in the carbon nanotube, and the current in the carbon nanotube can be controlled by controlling the voltages of the gate, the source and the drain to control the entanglement strength.

3. The scalable quantum information processing system of claim 1 or 2, wherein the two diamond micro-pillars are located on a planar diamond substrate, the planar diamond substrate is positioned above the carbon nanotubes with its front side facing the carbon nanotubes, and the front side is the side above which the diamond micro-pillars are located.

4. The scalable quantum information processing system of claim 3, wherein the distance between the two quantum dots is 100 nanometers to 20 micrometers;

after the electrons of the two nitrogen vacancy centers are entangled, the entanglement between the electrons is converted into the entanglement of two nitrogen nuclei adjacent to the electrons of the nitrogen vacancy centers through the controlled phase gate, so that the entangled state of the two nitrogen vacancy centers is kept for a longer time.

5. An expandable quantum information processing method is characterized by comprising the following steps:

the carbon nano tube is enabled to form space distribution with high two ends and low middle through the substrate, and two quantum dots are formed in the carbon nano tube by controlling the voltage of the gate circuit, the source electrode and the drain electrode, wherein one quantum dot is positioned between the source electrode and the carbon nano tube between the gate circuit, and the other quantum dot is positioned between the gate circuit and the carbon nano tube between the drain electrode; a gate circuit, a source electrode and a drain electrode are deposited on the substrate, the gate circuit is laid on the substrate, the source electrode and the drain electrode are respectively positioned at two ends of the substrate, and the height of the source electrode and the height of the drain electrode are higher than that of the gate circuit;

controlling two diamond micro-columns to be respectively positioned right above the two quantum dots, wherein each diamond micro-column contains a nitrogen vacancy center to form two groups of nitrogen vacancy centers and quantum dots; two diamond micro-columns, a carbon nano tube and a substrate form a quantum information processing unit;

applying a microwave signal and a magnetic field to the region where each group of nitrogen vacancy centers and quantum dots are located, wherein the microwave signal is used for controlling the state of nitrogen vacancy center electrons, and the magnetic field is used for enabling the energy level of the nitrogen vacancy center electrons to generate Zeeman splitting; dipolar interaction exists between electrons of the nitrogen vacancy center of each group and the quantum dots; through controlling the magnetic field and the microwave signal, electrons at the centers of the nitrogen vacancies in the two diamond micro-columns can realize indirect coupling through two quantum dots formed in the nano-tubes, and further realize the entanglement of the electrons at the centers of the two nitrogen vacancies.

6. The scalable quantum information processing method of claim 5, wherein the electron entanglement strength between the two nitrogen vacancy centers is in an opposite trend to the current magnitude in the carbon nanotube, and the current in the carbon nanotube can be controlled by controlling the voltages of the gate, the source and the drain to control the entanglement strength.

7. The scalable quantum information processing method of claim 5 or 6, wherein the two diamond micro-pillars are located on a planar diamond substrate, and the planar diamond substrate is fixed above the carbon nanotubes with its front surface facing the carbon nanotubes, and the front surface is the surface above which the diamond micro-pillars are located.

8. The scalable quantum information processing method of claim 7, wherein the distance between the two quantum dots is 100 nanometers to 20 micrometers;

after the electrons of the two nitrogen vacancy centers are entangled, the entanglement between the electrons is converted into the entanglement of two nitrogen nuclei adjacent to the electrons of the nitrogen vacancy centers through the controlled phase gate, so that the entangled state of the two nitrogen vacancy centers is kept for a longer time.

Technical Field

The invention relates to the field of quantum entanglement and quantum computation, in particular to an extensible quantum information processing system and method.

Background

Similar to the classical computer, the quantum computer also has the concept of bit-qubit, which has two states, namely '0' or '1', and for a classical bit it is exactly in one state, not '0' or '1', but the qubits are not identical, it is in the superposition state, written with a quantum-mechanical symbol as | Ψ>＝α|0>+β|1>Wherein α and β are plural and satisfy | α -²+|β|²1. Because the qubits are in the superposition state, which is influenced by time and environment, the results obtained by measuring the qubits many times may not be the same.

Assembling a quantum computer requires finding suitable materials to act as qubits, which are carriers of quantum information and computation, and the decoherence time is used to measure the effective time of the qubits in storing information. At present, a plurality of candidate schemes such as atomic nuclear spin, electronic spin, ion trap, quantum dot, optical cavity, microwave cavity and superconductive equivalent quantum system exist, but all have advantages and disadvantages. Most systems have high requirements on environment, so that the system is difficult to be widely applied to practical application. The diamond nitrogen-vacancy centers are different, the entanglement degree of the diamond nitrogen-vacancy centers can be kept for several seconds at room temperature, the diamond nitrogen-vacancy centers are quite stable, the property enables the diamond nitrogen-vacancy centers to be very suitable for being used as qubits, and the problem of scalability of the qubits, namely quantum entanglement among the qubits, needs to be solved when practical quantum computation based on the diamond nitrogen-vacancy centers at room temperature is to be realized. For two closely spaced nitrogen-vacancy centres, quantum entanglement can be achieved directly using the dipolar interaction between them, whereas for long distance nitrogen-vacancy centres, effective quantum entanglement cannot be produced due to too weak dipolar interaction between electrons. If scalable quantum computing needs to be developed, independent control of different nitrogen-vacancy centers is required, and further, the distance between adjacent nitrogen-vacancy centers cannot be too close, and quantum entanglement needs to be realized at a micron level. Entanglement has not been achieved directly by dipolar interaction on the micron scale, but only aided by other means, as to the nature of the nitrogen-vacancy centres themselves.

At present, the main idea for solving the problem of quantum entanglement of long-distance nitrogen-vacancy centers is to form a hybrid quantum system by means of other quantum systems and nitrogen-vacancy centers. One such method is to use a photon cavity to enhance the photon emission rate from the nitrogen-vacancy centers, enabling long-distance entanglement between the nitrogen-vacancy centers. Because the growth and the etching of the diamond single crystal film are difficult, and the loss of an optical cavity is not negligible, the method is difficult to realize the long-distance nitrogen-vacancy center entanglement; another method for realizing entanglement between long-distance nitrogen-vacancy centers is to use a mechanical oscillator to couple two distant nitrogen-vacancy centers with the aid of the mechanical oscillator, but since the mechanical oscillator is very susceptible to thermal effects, it is difficult to realize the mechanical oscillator to couple two distant nitrogen-vacancy centers.

Disclosure of Invention

Aiming at the defects of the prior art, the invention aims to solve the technical problems that the coupling between two remote diamond nitrogen-vacancy centers is weak and quantum entanglement is difficult to generate.

To achieve the above object, in a first aspect, the present invention provides a scalable quantum information processing system, including: a plurality of quantum information processing units; each quantum information processing unit comprises two diamond micro-columns, a carbon nano tube and a substrate;

a gate circuit, a source electrode and a drain electrode are deposited on the substrate, the gate circuit is laid on the substrate, the source electrode and the drain electrode are respectively positioned at two ends of the substrate, and the height of the source electrode and the height of the drain electrode are higher than that of the gate circuit;

the carbon nano tube is placed on the substrate, two ends of the carbon nano tube are placed on the source electrode and the drain electrode at two ends of the substrate, so that the carbon nano tube forms space distribution with high two ends and low middle, and two quantum dots are formed in the carbon nano tube by controlling the voltage of the gate circuit, the source electrode and the drain electrode, wherein one quantum dot is positioned on the carbon nano tube between the source electrode and the gate circuit, and the other quantum dot is positioned on the carbon nano tube between the gate circuit and the drain electrode;

the two diamond micro-columns are respectively positioned right above the two quantum dots, and each diamond micro-column contains a nitrogen vacancy center to form two groups of nitrogen vacancy centers and quantum dots;

applying a microwave signal and a magnetic field to the region where each group of nitrogen vacancy centers and quantum dots are located, wherein the microwave signal is used for controlling the state of nitrogen vacancy center electrons, and the magnetic field is used for enabling the energy level of the nitrogen vacancy center electrons to generate Zeeman splitting; magnetic dipole-dipole interaction exists between electrons in the nitrogen vacancy center of each group and the quantum dots; through controlling the magnetic field and the microwave signal, electrons at the centers of the nitrogen vacancies in the two diamond micro-columns can realize indirect coupling through two quantum dots formed in the nano-tubes, and further realize the entanglement of the electrons at the centers of the two nitrogen vacancies.

Alternatively, the electron entanglement strength between the two nitrogen vacancy centers is in an opposite trend to the current magnitude in the carbon nanotube, and the current in the carbon nanotube can be controlled by controlling the voltages of the gate, the source and the drain to control the entanglement strength.

Optionally, the two diamond micropillars are located on a planar diamond substrate, and the planar diamond substrate is fixed above the carbon nanotubes, with the front surface facing the carbon nanotubes, and the front surface is the surface above which the diamond micropillars are located.

Optionally, the distance between the two quantum dots is 100 nanometers to 20 micrometers;

after the electrons of the two nitrogen vacancy centers are entangled, the entanglement between the electrons is converted into the entanglement of two nitrogen nuclei adjacent to the electrons of the nitrogen vacancy centers through the controlled phase gate, so that the entangled state of the two nitrogen vacancy centers is kept for a longer time.

In a second aspect, the present invention provides an extensible quantum information processing method, including the following steps:

the carbon nano tube is enabled to form space distribution with high two ends and low middle through the substrate, and two quantum dots are formed in the carbon nano tube by controlling the voltage of the gate circuit, the source electrode and the drain electrode, wherein one quantum dot is positioned between the source electrode and the carbon nano tube between the gate circuit, and the other quantum dot is positioned between the gate circuit and the carbon nano tube between the drain electrode; a gate circuit, a source electrode and a drain electrode are deposited on the substrate, the gate circuit is laid on the substrate, the source electrode and the drain electrode are respectively positioned at two ends of the substrate, and the height of the source electrode and the height of the drain electrode are higher than that of the gate circuit;

controlling two diamond micro-columns to be respectively positioned right above the two quantum dots, wherein each diamond micro-column contains a nitrogen vacancy center to form two groups of nitrogen vacancy centers and quantum dots; two diamond micro-columns, a carbon nano tube and a substrate form a quantum information processing unit;

applying a microwave signal and a magnetic field to the region where each group of nitrogen vacancy centers and quantum dots are located, wherein the microwave signal is used for controlling the state of nitrogen vacancy center electrons, and the magnetic field is used for enabling the energy level of the nitrogen vacancy center electrons to generate Zeeman splitting; magnetic dipole-dipole interaction exists between electrons in the nitrogen vacancy center of each group and the quantum dots; through controlling the magnetic field and the microwave signal, electrons at the centers of the nitrogen vacancies in the two diamond micro-columns can realize indirect coupling through two quantum dots formed in the nano-tubes, and further realize the entanglement of the electrons at the centers of the two nitrogen vacancies.

Alternatively, the electron entanglement strength between the two nitrogen vacancy centers is in an opposite trend to the current magnitude in the carbon nanotube, and the current in the carbon nanotube can be controlled by controlling the voltages of the gate, the source and the drain to control the entanglement strength.

Optionally, the two diamond micropillars are located on a planar diamond substrate, and the planar diamond substrate is fixed above the carbon nanotubes, with the front surface facing the carbon nanotubes, and the front surface is the surface above which the diamond micropillars are located.

Optionally, the distance between the two quantum dots is 100 nanometers to 20 micrometers;

after the electrons of the two nitrogen vacancy centers are entangled, the entanglement between the electrons is converted into the entanglement of two nitrogen nuclei adjacent to the electrons of the nitrogen vacancy centers through the controlled phase gate, so that the entangled state of the two nitrogen vacancy centers is kept for a longer time.

Generally, compared with the prior art, the above technical solution conceived by the present invention has the following beneficial effects:

the invention provides a carbon nano tube-spinning mixed quantum system, which can realize indirect coupling between two nitrogen-vacancy centers with a micrometer-level distance through the action of a carbon nano tube and realize quantum entanglement between two remote nitrogen-vacancy centers, thereby providing an expandable quantum information processing method.

The invention can realize quantum entanglement between two nitrogen-vacancy centers of micron order, and can judge whether entanglement occurs and the magnitude of the generated entanglement through the magnitude of leakage current, thereby avoiding measuring the entanglement by using complicated operation technologies such as entanglement witness or quantum state chromatography.

After quantum entanglement between two distant nitrogen-vacancy centres produced by the process of the invention, the entanglement between two electrons can be transferred by controlled phase gating between the nitrogen nuclear spins adjacent to the nitrogen-vacancy centre electron. Based on the invention, a nitrogen-vacancy center and carbon nano tube double quantum dot array system can be further constructed, and a two-dimensional cluster state can be realized.

Drawings

FIG. 1 is a sample schematic diagram of a hybrid quantum system composed of a nitrogen vacancy center and a carbon nanotube double quantum dot in diamond according to the present invention;

FIG. 2 is a time-dependent change diagram of the probability of each quantum state, the electron entanglement of two nitrogen vacancy centers, the leakage current of carbon nanotubes, and the like during operation of the quantum system provided by the invention and described in FIG. 1;

FIG. 3 is a graph of the effect of magnetic field noise and energy level deviation on the quantum system of FIG. 1 during operation, numerically simulated according to the present invention;

FIG. 4 is a schematic diagram of a two-dimensional spot array system expanded by the method of FIG. 1 according to the present invention.

Detailed Description

In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.

According to the present invention, there is provided a carbon nanotube-spin composite mixing quantum system, comprising: the device comprises a cylindrical diamond sample, an optical system, a microwave system, a magnetic field system, a carbon nano tube double quantum dot sample, a low-temperature system, a data acquisition system and an electric operating system. Wherein:

the diamond sample is processed by a preset process, the nitrogen-vacancy center is positioned in two columnar structures which are positioned on a plane diamond substrate and are separated by dozens of micrometers (the specific distance is related to the positions of two quantum dots in a double quantum dot system), the height of each column is about 500 nanometers, and the diameter of each column is about 100 nanometers;

the optical system focuses 532nm (laser wavelength can be between 400nm and 600 nm) laser on a nitrogen-vacancy center at the top of the diamond column, collects fluorescence emitted from the nitrogen-vacancy center, and the property of the nitrogen-vacancy center can be obtained by analyzing the collected fluorescence;

the microwave system can apply microwave signals with preset frequency, preset time length and preset intensity to the nitrogen-vacancy center, and the duration, frequency and intensity of the microwaves can be set by the control system.

The magnetic field system can apply an adjustable magnetic field to the nitrogen-vacancy center, and the magnitude of the magnetic field is from 0Gauss to 1000 Gauss.

The carbon nano tube double quantum dot sample is processed by a special process, the distance between the double quantum dots is 100 nanometers to 20 micrometers, the distance is exactly corresponding to the distance between the centers of two nitrogen-vacant sites, and the double quantum dot sample is fixed on a platform by a fixing device; the carbon nanotube double quantum dot system is characterized in that a source electrode, a drain electrode and a gate circuit electrode are deposited on a substrate, the height of the source electrode and the height of the drain electrode are higher than that of the gate circuit (dozens of nanometers), the carbon nanotube is placed on the structure to form a space distribution which is high at two ends and low in the middle, and quantum dots can be formed in the carbon nanotube at the positions between the source electrode and the gate circuit and between the gate circuit and the drain electrode by controlling the voltage of the source electrode, the drain electrode and the gate circuit, so that the carbon nanotube double.

The low-temperature system contains the diamond sample and the carbon nano tube double quantum dot sample, so that the sample is in a controllable low-temperature environment;

the data acquisition system is connected with the optical system and the control system, and acquires a fluorescence signal from the optical system and feeds the fluorescence signal back to the control system after receiving a command of the control system;

the control system controls the voltage applied by the source electrode, the drain electrode and the gate circuit, and controls the optical system, the microwave system, the magnetic field system and the data acquisition system.

According to the invention, a method for entangling two nitrogen-vacancy centers at a long distance (micrometer scale) is provided, the core idea of the method is to entangle the two nitrogen-vacancy centers by using a double quantum dot system, and the entanglement condition of the system can be obtained by measuring the current passing through the carbon nano tube. Specifically, the diamond nitrogen-vacancy center sample was placed opposite the carbon nanotube dual quantum dot sample, approximately 5 to 10 nanometers apart (as shown in fig. 1).

Applying a voltage to a dual quantum dot system, due to the existence of the coulomb blockade mechanism, electrons can only reach the drain from the source through a cycle from (0,1) → (1,1) → (0,2) → (0,1), where (n) is_L，n_R) Indicating the number of electrons occupied by the quantum dots on the left and right sides. When a dual quantum dot system is in this state (1,1), two entangled electrons can form a spin triplet state according to the principles of quantum mechanics

And | T \ u>＝|↓>_L|↓>_RAnd spin singlet

|↑>、|↓>Subscript L, R is used to mark the nitrogen-vacancy centers on the left and right sides, respectively, to indicate the spin-up and spin-down states of the electrons. Due to the Pauli incompatibility principle, only electrons with quantum states in spin singlet state can be transferred from the left-side quantum dot to the right-side quantum dot, and accordingly, the system is also converted from (1,1)The state is (0,2), namely electrons can normally pass through the carbon nano tube to form current.

When diamond nitrogen-vacancy centers are entangled with each other, the entangled state of two nitrogen-vacancy centers made up of electrons is written as:

and

|0>、|1>electron spin at | m, each representing a nitrogen-vacancy center_s＝+1>And | m_s＝-1>State of (1), m_SRepresenting the number of magnetic quanta, subscript L, R is used to distinguish the left and right nitrogen-vacancy centres.

Under the control of an external electric field, a magnetic field and a microwave field, magnetic dipole-dipole interaction exists between electrons at the center of the nitrogen vacancy and the quantum dots; through controlling the magnetic field and the microwave signal, the two nitrogen-vacancy centers which are separated by the micron order can realize indirect coupling through the action of the carbon nano tube, and the quantum entanglement between the two remote nitrogen-vacancy centers is realized. The double quantum dot and nitrogen-vacancy center coupling system is only at | T₀>|Φ^->In the state, the state of the double quantum dot does not change to spin singlet | S>At this time, electron blocking in the carbon nanotube occurs, no current passes through, the relationship between the leakage current and electron entanglement between the nitrogen-vacancy centers simulated by modeling analysis is shown in fig. 2, the current passing through the carbon nanotube after a certain time approaches to 0 under the dipole interaction between electrons, and at this time, the electrons of the two nitrogen-vacancy color centers are prepared into an entangled state | Φ |^->The nitrogen-vacancy centres are in the most entangled state. Thereby achieving quantum entanglement between two remote nitrogen-vacancy centres.

The quantum entanglement between two remote nitrogen-vacancy centers generated by the method of the invention can resist certain external magnetic field noise and electric field noise, and the numerical simulation result is shown in figure 3. Wherein the change of entanglement degrees of two nitrogen-vacancy center spins in the evolution process with time is shown in (a) in fig. 3, a Gaussian distribution of magnetic noise is added, and v in the figure represents the standard deviation magnitude of the noise. From the numerical calculation results in the figure, it can be seen that the final entanglement sizes formed by the last two nitrogen-vacancy central spins can still reach a relatively high entanglement degree although being influenced by noise. Fig. 3 (b) further shows the influence of the energy level deviation (from-1 μ eV to 1 μ eV) on the degree of entanglement, the left graph is the result of non-optimization, and the right graph is the result of optimization of the electron transport rate by simulating the change of the voltage magnitude and action time applied to the source, drain and gate. By contrast, the influence of the level deviation on the degree of entanglement can be further eliminated by this optimal control.

After entanglement of electrons between two remote nitrogen-vacancy centres produced by the process of the invention, the entanglement between two electrons can be converted by controlled phase gating into entanglement of two nitrogen nuclei adjacent to the nitrogen-vacancy centre electrons. A steered phase gate is an operation on two qubits, one bit being the steered bit and the other being the target bit. This operation selects whether a relative phase is generated at the target bit, depending on the state of the steered bit. In the present hybrid quantum system, an equivalent controlled phase gate acting on two nitrogen nuclei can be constructed by: (1) applying a pi/4 rotation gate in the x direction to the electrons in the left nitrogen-vacancy center; (2) the whole system evolves for a period of time t ═ pi/2A under the condition of electron-nucleus hyperfine interaction_||(A_||Representing hyperfine coupling strength in parallel directions); (3) simultaneously applying a pi/4 revolving gate in the x direction on two nitrogen-vacancy central electrons; (4) two nitrogen-vacancy central electrons are { | +>，|->Making joint measurement on the basis vector. Specifically, the equivalent controlled phase gate referred to herein is an actual gate operation, and is an indirect gate operation obtained through a series of operations, which is equivalent in effect to the controlled phase gate.

Based on the present invention, a nitrogen-vacancy center and carbon nanotube dual quantum dot array system can be constructed, as shown in FIG. 4. Fig. 4 (a) is a schematic diagram of an arrangement of nitrogen-vacancy centres and carbon nanotube double quantum dots in a one-dimensional case, arranged end-to-end by a plurality of the structures shown in fig. 1. In fig. 4 (b), the upper diagram shows electron entanglement of nitrogen-vacancy centers to respective nuclear spins by controlled phase manipulation, and the lower diagram shows controlled phase manipulation of two adjacent nitrogen-vacancy center nanopillars by spin-exchanging the positions of the two adjacent nuclear spins. Through this series of controlled phase manipulations, one-dimensional cluster states can then be formed. In fig. 4 (c), it is shown that a plurality of one-dimensional nitrogen-vacancy centers and a carbon nanotube double quantum dot system are arranged, and different columns are connected by using the result, and a two-dimensional cluster state can be realized by the delicate arrangement and the controlled phase control. Can lay a foundation for quantum computation based on measurement.