Super-robust nonadiabatic geometric quantum control

Liu, Bao-Jie; Wang, Yuan-Sheng; Yung, Man‐Hong

doi:10.1103/physrevresearch.3.l032066

Cited by 17 publications

(8 citation statements)

References 73 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effective Hamiltonian obtained by the Floquet theory [45,46] possesses a RWA-like form. Thus it is compatible with most optimal control methods [28,34,[47][48][49][50][51][52][53][54] which have been applied under the RWA, such as the recently developed methods of super-robust geometric control [53] and doubly geometric quantum control [54]. The proposed protocol can avoid the negative effects caused by the counter-rotating (CR) interactions, including the Bloch-Siegert (BS) shift, which may shift the qubit transition frequency and induce additional systematic noise to the system.…”

mentioning

confidence: 85%

Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

Chen¹,

Miranowicz²,

Chen³

et al. 2022

Preprint

View full text Add to dashboard Cite

We propose a general approach to implement nonadiabatic geometric single-and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus, it is as robust as (or even more robust than) the RWA protocols. Using counter-rotating effects allows us to apply strong drives. Therefore, we can improve the gate speed by 5-10 times compared to the RWA counterpart for implementing highfidelity (≥ 99.99%) gates. Such an ultrafast evolution (nanoseconds, even picoseconds) significantly reduces the influence of decoherence (e.g., the qubit dissipation and dephasing). Moreover, because the counter-rotating effects no longer induce a gate infidelity (in both the weak and strong driving regimes), we can achieve a higher fidelity compared to the RWA protocols. Therefore, in the presence of decoherence, one can implement ultrafast geometric quantum gates with ≥ 99% fidelities.

show abstract

mentioning

confidence: 85%

Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

Chen¹,

Miranowicz²,

Chen³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The NHQC gates are usually sensitive to gate lasers when the laser profile has a simple shape [20,39,40]. To illustrate this dependence, we consider a rectangular pulse with small variation δT (δΩ t ) to the gate time T (Rabi frequency Ω t ).…”

Section: Robust Multiqubit Holonomic Gatesmentioning

confidence: 99%

“…It turns out that the fidelity as well as error tolerance of (N +1)-QHG can be improved through pulse engineering, permitting to carry out optimized holonomic quantum computation (OHQC) [20,40]…”

Section: Robust Multiqubit Holonomic Gatesmentioning

confidence: 99%

“…Efforts have been spent to combine HQC with decoherence-free subspace to protect qubits from noises [9,18] or with error-correcting codes to eliminate qubit errors actively [35][36][37][38]. With these developments, the gate errors are mainly affected by the imperfect control parameter [20,39,40]. It can limit the overall fidelity of lengthy algorithms in quantum computation [41][42][43][44][45][46][47][48] and simulation [49][50][51][52], as typically the HQC is implemented with concatenating multiple, universal singleand two-qubit gates.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Wang

Han

et al. 2021

Phys. Rev. Applied

View full text Add to dashboard Cite

Quantum holonomic gates hold built-in resilience to local noises and provide a promising approach for implementing fault-tolerant quantum computation. We propose to realize high-fidelity holonomic (N + 1)-qubit controlled gates using Rydberg atoms confined in optical arrays or superconducting circuits. We identify the scheme, deduce the effective multi-body Hamiltonian, and determine the working condition of the multiqubit gate. Uniquely, the multiqubit gate is immune to systematic errors, i.e., laser parameter fluctuations and motional dephasing, as the N control atoms largely remain in the much stable qubit space during the operation. We show that CN -NOT gates can reach same level of fidelity at a given gate time for N ≤ 5 under a suitable choice of parameters, and the gate tolerance against errors in systematic parameters can be further enhanced through optimal pulse engineering. In case of Rydberg atoms, the proposed protocol is intrinsically different from typical schemes based on Rydberg blockade or antiblockade. Our study paves a new route to build robust multiqubit gates with Rydberg atoms trapped in optical arrays or with superconducting circuits. It contributes to current efforts in developing scalable quantum computation with trapped atoms and fabricable superconducting devices.

show abstract

“…We intend to build a bridge between unidirectional acoustic metamaterials (UDAMs) and quantum computation. In the field of quantum computation [23,24], holonomic quantum computation [25] based on non-Abelian geometric phases [26,27] received substantial attention in the last two decades because the geometric evolution of quantum systems is not dependent on dynamical details but rather evolution trajectories and thus improves the fault tolerance of quantum computing [28][29][30][31][32][33][34][35][36][37]. Holonomic quantum computation was first designated based on adiabatic slow evolution [25,28,38], and furthermore generalized to nonadiabatic paradigms that can efficiently shorten the time of holonomic transformations on quantum states and thus strengthen immunity to decoherence.…”

Section: Introductionmentioning

confidence: 99%

Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations

Wu,

Tang,

Wang

et al. 2021

Preprint

View full text Add to dashboard Cite

Nonadiabatic holonomic quantum transformations (NHQTs) have attracted wide attention and have been applied in many aspects of quantum computation, whereas related research is usually limited to the field of quantum physics. Here we bring NHQTs into constructing a unidirectional acoustic metamaterial (UDAM) for shaping classical beams. The UDAM is made up of an array of three-waveguide couplers, where the propagation of acoustic waves mimics the evolution of NHQTs. The excellent agreement among analytical predictions, numerical simulations, and experimental measurements confirms the great applicability of NHQTs in acoustic metamaterial engineering. The present work extends research on NHQTs from quantum physics to the field of classical waves for designing metamaterials with simple structures and may pave a new way to design UDAMs that would be of potential applications in acoustic isolation, communication, and stealth.

show abstract

Super-robust nonadiabatic geometric quantum control

Cited by 17 publications

References 73 publications

Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

Systematic-Error-Tolerant Multiqubit Holonomic Entangling Gates

Unidirectional acoustic metamaterials based on nonadiabatic holonomic quantum transformations

Contact Info

Product

Resources

About