Multiple-qubit controlled unitary quantum gate for Rydberg atoms using shortcut to adiabaticity and optimized geometric quantum operations

Li, Meng; Guo, F.-Q.; Jin, Zhao; Yan, L.-L.; Liang, Erjun; Su, Shi‐Lei

doi:10.1103/physreva.103.062607

Cited by 31 publications

(12 citation statements)

References 114 publications

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“…Another inevitable technical error resource is the motional dephasing effect [72,73]. Due to the finite temperature, the thermal motion of control and target atoms will induce an inevitable Doppler dephasing to the excitation of Rydberg states which can be estimated by a phase change to the laser Rabi frequencies Ω t → Ω t e i∆tt , Ω c → Ω c e i∆ct (22) where the detunings ∆ t(c) seen by the atoms satisfy a Gaussian distribution with its mean value ∆t(c) = 0 and the standard deviation σ ∆ t(c) . Typically σ ∆ t(c) = k ef f v where k ef f = j k j is the overall wavevector and v = v rms = k B T a /M is the atomic root-mean-square velocity with k B , T a and M being the Boltzmann constant, atomic temperature, and atomic mass.…”

Section: Appendix D: Technical Errorsmentioning

confidence: 99%

“…To date, several studies for multiqubit gates use the * jqian1982@gmail.com way of adiabatic passages in which the evolution of states can be performed by obeying a multiqubit dark eigenstate with complex optimal pulses [22,23]. Alternative way for this target depends on nonadiabatic holonomic quantum computation showing a C 3 NOT gate with an error of 0.0018 [24].…”

Section: Introductionmentioning

confidence: 99%

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Multiqubit Toffoli gates and optimal geometry with Rydberg atoms

Yu¹,

Su²,

Jiang³

et al. 2022

Preprint

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Due to its potential for implementing a scalable quantum computer, multiqubit Toffoli gate lies in the heart of quantum information processing. In this article, we demonstrate a multiqubit blockade gate with atoms arranged in a three-dimension spheroidal array. The gate performance is greatly improved by the method of optimization of control-qubit distributions via evolutionary algorithm on the spherical surface, which leads to an enhanced asymmetric Rydberg blockade. This spheroidal configuration, not only arises a well preservation for the dipole blockade energy between arbitrary control-target pairs, which keeps the asymmetric blockade error at a very low level; but also manifests an unprecedented robustness to the spatial position variations, leading to a negligible position error. Taking account of intrinsic errors and with typical experimental parameters, we numerically show that a C6NOT Rydberg gate can be created with a fidelity of 0.9920 which is only limited by Rydberg decays. Our protocol opens up a new platform of higher-dimensional atomic arrays for achieving multiqubit neutral-atom quantum computation.

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Section: Appendix D: Technical Errorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multiqubit Toffoli gates and optimal geometry with Rydberg atoms

Yu¹,

Su²,

Jiang³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In fact, as a well-known time-dependent pulse modulation technology, the adiabatic techniques [70], such as stimulated Raman adiabatic passage (STIRAP) and adiabatic rapid passage (ARP), have long been widely applied to neutral-atom system within the Rydberg blockade region to improve the robustness against the fluctuation of parameter and reduce the requirement of the strong Rydberg interactions [66,[71][72][73][74][75][76][77][78][79][80][81][82]. The types of phase accumulation during adiabatic evolution can be roughly divided into geometric phases [71,77,78] and dynamic phases [73,80].…”

Section: Introductionmentioning

confidence: 99%

Single Gaussian temporal pulse modulated controlled-Z gate of neutral atoms under symmetrically optical pumping

Li¹,

Shao²,

Li³

2022

Preprint

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We propose an experimentally feasible protocol for implementing the standard controlled-Z gate of neutral atoms through a symmetrical two-photon excitation process via the second resonance line, 6P in 87 Rb, with a single-Gaussian-temporal-modulation-coupling of ground state and intermediate state. For qubit states that encoded on the alkali clock states, the dynamics of system depend on different adiabatic paths modulated by Gaussian pulses, which accumulates a phase factor of π on logic qubit state |11 alone at the end of the operation. The Gaussian pulse takes the simple form of Ω0 exp[−(t − 2T ) 2 /T 2 ], and the corresponding optimal parameters can be easily determined by direct use of numerical integration. On the premise of considering only spontaneous emission, the gate fidelity can achieve 99.78% with the operation time less than 1 µs. Furthermore, we discuss in detail the impact of other sources of errors on the fidelity of logic gate and find that the use of adiabatic pulse makes the gate less sensitive to the Doppler effect and laser intensity fluctuation. By selecting suitable optical traps, the predicted fidelity of the gate can reach about 98.4% after correcting the measurement error. Compared with the existing schemes, we achieve a higher fidelity quantum logic gate through a simpler Gaussian driving field, which may be helpful to the experimental implementation of quantum computation and quantum simulation in the neutral-atoms system.

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“…1(a), it is clear that the n-qubit c-SWAP test requires n Toffoli gates as well 3n qubits (2 copies of the the quantum state of interest and n ancilla qubits). The most promising platform for implementing the c-SWAP test is Rydberg atom systems [13,14] due to their native ability to implement Toffoli gates [15][16][17][18][19][20][21][22][23][24][25][26]. However, to make the CEs and related measures as accessible as possible, a method of estimating them that is experimentally feasible on all hardware platforms is needed.…”

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confidence: 99%

Multipartite entanglement measures via Bell basis measurements

Beckey¹,

Pelegrí²,

Foulds³

et al. 2022

Preprint

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We show how to estimate a broad class of multipartite entanglement measures from Bell basis measurement data. In addition to lowering the experimental requirements relative to previously known methods of estimating these measures, our proposed scheme also enables a simpler analysis of the number of measurement repetitions required to achieve an -close approximation of the measures, which we provide for each. We focus our analysis on the recently introduced Concentratable Entanglements [ Beckey et al. Phys. Rev. Lett. 127, 140501 (2021)] because many other well-known multipartite entanglement measures are recovered as special cases of this family of measures. We extend the definition of the Concentratable Entanglements to mixed states and show how to construct lower bounds on the mixed state Concentratable Entanglements that can also be estimated using only Bell basis measurement data. Finally, we demonstrate the feasibility of our methods by realistically simulating their implementation on a Rydberg atom quantum computer.

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Multiple-qubit controlled unitary quantum gate for Rydberg atoms using shortcut to adiabaticity and optimized geometric quantum operations

Cited by 31 publications

References 114 publications

Multiqubit Toffoli gates and optimal geometry with Rydberg atoms

Multiqubit Toffoli gates and optimal geometry with Rydberg atoms

Single Gaussian temporal pulse modulated controlled-Z gate of neutral atoms under symmetrically optical pumping

Multipartite entanglement measures via Bell basis measurements

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