Experimental Implementation of Universal Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit

Xu, Yuan; Hua, Z.; Chen, Tao; Pan, X.; Li, X.; Han, Jie; Cai, Wenli; Ma, Yuxin; Wang, H.; Song, Yipu; Xue, Zheng‐Yuan; Sun, Liang

doi:10.1103/physrevlett.124.230503

Cited by 111 publications

(50 citation statements)

References 71 publications

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“…Therefore, our scheme provides a promising way towards fault-tolerant quantum computation for neutral-atom-based quantum system. Here, we shall succinctly derive NGQC [42][43][44][45][46] in our framework to provide a unified view on geometric quantu computation. For conventional NGQC, it should satisfy the cyclic condition as |φ 1 (τ ) = |φ 1 (0) .…”

Section: Discussionmentioning

confidence: 99%

“…Meanwhile, the geometirc phase is taken by γ = τ 0 1 2η cos χ dt = φ 1 2 . For U 1 gate, the control parameters are chosen as χ 0 = π/2, φ 0 = −π/2, φ 1 = π/2, and τ = π 0 .In sharp contrast to the conventional NGQC schemes to construct U 1 [42][43][44][45][46] that requires evolution time being 2τ , by choosing the same maximum Rabi frequency, we found that the required gate time of NNGQC to construct U 1 is τ [as shown in Fig. 2(a)], which is reduced by 50% (see Appendix A for details).…”

Section: General Modelmentioning

confidence: 99%

“…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%

“…Comparing with the conventional Rydberg blockade [4][5][6], we consider RRI-induced blockade process seriously by second-order dynamics, which may be more accurate since we do not discard the stark shifts relevant to the "blockade". More importantly, our scheme can further reduce the geometric gate time of NGQC [42][43][44][45][46] without the limitation of cyclic condition. Specifically, we found that the certain gate time of NNGQC can be reduced by half compared with NGQC by choosing proper control parameter.…”

Section: Introductionmentioning

confidence: 99%

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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: Discussionmentioning

confidence: 99%

Section: General Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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“…Moreover, superconducting devices have found impressive interest in quantum information setups [29] , [30] because of their long intrinsic coherency with no dissipation characteristics. Recent years, employing the superconducting qubits and superconducting resonators have improved the exploring of quantum entanglement [31] , [32] , quantum teleportation [33] , [34] and quantum computing [35] , [36] studies. Superconducting qubits namely phase [37] , flux [38] and charge [39] qubits can be connected with microwave [40] , electrical [41] , mechanical [42] , and superconducting [43] resonators.…”

Section: Introductionmentioning

confidence: 99%

Robust entanglement of an asymmetric quantum dot molecular system in a Josephson junction

Afsaneh

Harouni

2020

Heliyon

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We demonstrate the generation of robust entanglement of a quantum dot molecular system in a voltage-controlled junction. To improve the quantum information characteristics of this system, we propose an applicable protocol which contains the implementation of asymmetric quantum dots as well as the engineering of reservoirs. Quantum dots can provide asymmetric coupling coefficients due to the tunable energy barriers through the gap voltage changes. To engineer the reservoirs, superconducting leads are used to prepare a voltage-biased Josephson junction. The high-controllability properties of this system give the arbitrary magnitude of entanglement by the arrangement of parameters. Significantly, the perfect entanglement can be achieved for an asymmetric structure in response to the increase of bias voltage, and also it continues saturated with the near-unit amount.

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Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

et al. 2021

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Since quantum entanglement plays a crucial role in quantum information processing, analyzing entangled states is indispensable for practical applications. Here a simple and direct protocol to distinguish arbitrary N‐qubit Greenberger–Horne–Zeilinger (GHZ) states by novel nonadiabatic noncyclic geometric quantum computation using Rydberg atoms is put forward. The Bell states can also be distinguished completely using this way. The protocol is justified by numerical simulation for Bell states and N‐qubit GHZ states, which evaluates the robustness and shows gratifying results. In addition, the idea is flexible, that is, available in any platform. Due to its simplicity and easy operation, the scheme would be very useful in quantum information science both theoretically and experimentally.

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Experimental Implementation of Universal Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit

Cited by 111 publications

References 71 publications

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Robust entanglement of an asymmetric quantum dot molecular system in a Josephson junction

Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

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