Fast holonomic quantum computation based on solid-state spins with all-optical control

Zhou, Jian; Liu, Bao-Jie; Hong, Zhuo-Ping; Xue, Zheng‐Yuan

doi:10.1007/s11433-017-9119-8

Cited by 46 publications

(23 citation statements)

References 64 publications

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“…Geometric quantum logic gates [22,23] based on adiabatic or nonadiabatic geometric phase [24][25][26][27], which depends only on the global properties of the evolution paths, provides us the possibility for robust quantum computation [28][29][30][31][32][33][34]. In contrast to the earlier adiabatic-process-based geometric quantum computation [35][36][37][38], nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) based on Abelian [39][40][41][42][43][44][45][46] and non-Abelian geometirc phases [47][48][49][50][51][52][53][54][55][56] in two-and threelevel system, respectively, can intrinsically protect against environment-induced decoherence, since the the construction times of geometric quantum gates is reduced. The nonadiabatic geometric gates of NGQC and NHQC have been experimentally demonstrated in many systems including superconducting qubit [57][58][59][60][61], NMR [62][63][64]…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the same amount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation (NNGQC), that arbitrary single-and two-qubit geometric gate can be constructed via noncyclic non-Abelian geometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gates against the effects from the environmental decoherence. Furthermore, this extensible scheme can be applied in various quantum platforms, such as superconducting qubit and Rydberg atoms. Specifically, for single-qubit gate, we make simulations with practical parameters in neutral atom system to show the robustness of NNGQC and also compare with NGQC using the recent experimental parameters to show that the NNGQC can significantly suppress the decoherence error. In addition, we also demonstrate that nontrivial two-qubit geometric gate can be realized via unconventional Rydberg blockade regime within current experimental technologies. Therefore, our scheme provides a promising way for fast and robust neutral-atom-based quantum computation.

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Section: Introductionmentioning

confidence: 99%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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“…On the other hand, the adiabatic passage allows quantum system evolving robustly, but the speed of the evolution is relatively slow. For the robustness and high speed of evolution, a new method called “shortcut to adiabaticity” (STA) has been proposed and studied. STA makes the quantum system evolve in a controllable nonadiabatic way and be robust against decoherence.…”

Section: Introductionmentioning

confidence: 99%

Complete and Nondestructive Atomic Greenberger–Horne–Zeilinger‐State Analysis Assisted by Invariant‐Based Inverse Engineering

et al. 2019

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A protocol to realize complete and nondestructive atomic Greenberger-Horne-Zeilinger (GHZ)-state analysis in cavity quantum electrodynamics (QED) systems is presented. In this protocol, the three information-carrier atoms and the three auxiliary atoms are trapped in six separated cavities, respectively. After ten-step operations, the information for distinguishing the eight different GHZ states of the three information-carrier atoms is encoded on the auxiliary atoms. Thus, by means of detecting the auxiliary atoms, complete and nondestructive GHZ-state analysis with high success probability is realized. Moreover, the driving pluses of operations are designed as a simple superposition of Gaussian or trigonometric functions by using the invariant-based inverse engineering. Therefore, the protocol can be realized experimentally and applied in some quantum information tasks based on complete GHZ-state analysis with less physical entanglement resource.interesting protocol for complete and nondestructive Bell-state analysis for two superconducting quantum interference device qubits. In protocols, [36,37] different Bell states can be distinguished completely with high success probabilities.On the other hand, GHZ state plays a crucial part in testing quantum mechanics against local hidden theory without Bell inequality. [47] Besides, the information capacity of GHZ states is bigger than Bell states, which makes GHZ states more promising than Bell states in multiparticle systems. Thus, finding an efficient and feasible way to realize GHZ-state analysis is an essential issue of QIP. For example, in 2005, Jin et al. [48] have presented a protocol to teleport an unknown atomic entangled state in driving cavity quantum electrodynamics (QED) systems. In this protocol, one important step is to distinguish different GHZ states of three atoms.Actually, as early as 1998, Pan et al. [49] have put forward a groundbreaking protocol to structure a GHZ-state analyzer by using linear-optics elements. The GHZ-state analyzer could distinguish two of the eight maximally entangled GHZ states, which signified that the measurement would be probabilistic. In order to overcome the nondeterminacy of detection, in 2005, Qian et al. [50] have proposed an innovative protocol for a three-particle GHZ-state analyzer using quantum nondemolition parity detectors based on the cross-Kerr nonlinearity and linear-optics elements. In protocol, [50] all GHZ states can be discriminated with nearly unity probability. But, the GHZ states will be destructed after analyzing. Obviously, nondestructive GHZ-state analysis can save the physical entanglement resource and boost the efficiency of QIP. Thus, how to carry out a complete and nondestructive GHZ-state analysis becomes a significant problem. To solve the problem, in 2012, Su et al. [51] have presented a protocol for completely and nondestructively distinguishing Bell states and GHZ states by employing simplified symmetry analyzer. In 2013, Wei et al. [52] have proposed a protocol for the complete and nondestr...

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“…The photon system is one of the promising information carriers with its manipulability, high‐speed transmission, and high capacity properties. In photonic quantum computation, two‐photon and three‐photon quantum entangling gates are essential elements for solving universal quantum computational tasks . In the construction of photonic quantum entangling gates, the strong interaction between photons is an essential task to be overcome.…”

Section: Introductionmentioning

confidence: 99%

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

et al. 2018

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The construction of a near-deterministic photonic hyperparallel quantum Fredkin (hyper-Fredkin) gate is investigated for a three-photon system with the optical property of a diamond nitrogen vacancy center embedded in an optical cavity (cavity-NV center system). This hyper-Fredkin gate can be used to perform double Fredkin gate operations on both the polarization and spatial-mode degrees of freedom (DOFs) of a three-photon system with a near-unit success probability, compared with those on the double three-photon systems in one DOF. In this proposal, the hybrid quantum logic gate operations are the key elements of the hyper-Fredkin gate, and only two cavity-NV center systems are required. Moreover, the possibility of constructing a high-fidelity and high-efficiency hyper-Fredkin gate in the experimental environment of a cavity-NV center system is discussed, which may be used to implement high-fidelity photonic computational tasks in two DOFs with a high efficiency.and three-photon quantum entangling gates are essential elements for solving universal quantum computational tasks. [1][2][3][4][5][6][7][8][9][10] In the construction of photonic quantum entangling gates, the strong interaction between photons is an essential task to be overcome. By using linear optics, auxiliary photons, and photon detectors, the strong photonphoton interaction can be obtained, and many schemes have been proposed and demonstrated for photonic twoqubit [11][12][13] and three-qubit [14,15] quantum entangling gates in the past few years. In 2006, Fiurášek [14] proposed a threephoton Fredkin gate with the success probability 4.1 × 10 −3 by using linear optical elements, auxiliary entangled photon pairs, and the single-photon detectors. In 2008, Gong et al. [15] improved the success probability of three-photon Fredkin gate to 1/64 by using linear optical elements and the three-photon time entangled source.The near-deterministic photonic quantum entangling gates have been investigated with nonlinear optical elements, [16][17][18][19][20][21][22][23][24] such as the two-photon controlled-not (CNOT) gate with cross-Kerr nonlinearity [16] and two-photon controlled-phase-flip (CPF) gate with cavity quantum electrodynamics (QED). [17] The interaction between dipole-emitter and photon in cavity QED is very useful for obtaining strong interaction between photons. The electron-spins in quantum dot [25][26][27][28][29] and nitrogen vacancy (NV) center in diamond [30][31][32][33][34][35][36][37] are promising dipole-emitters for cavity QED. With the optical property of quantum dot (or NV center in diamond) embedded in optical cavity, the quantum entangling gates can be constructed for photon systems [19,20,27] and photonelectron-spin hybrid systems. [36,37] Considering the high-capacity property, the photon system can carry more quantum information by encoding the multiple degrees of freedom (DOFs) as qubits. In quantum communication, the entanglement can be prepared in the multiple DOFs of photon system, called hyperentanglement, [38] which can larg...

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Fast holonomic quantum computation based on solid-state spins with all-optical control

Cited by 46 publications

References 64 publications

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Complete and Nondestructive Atomic Greenberger–Horne–Zeilinger‐State Analysis Assisted by Invariant‐Based Inverse Engineering

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

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