Systematic Magnus-Based Approach for Suppressing Leakage and Nonadiabatic Errors in Quantum Dynamics

Ribeiro, Hugo; Baksic, Alexandre; Clerk, Aashish A.

doi:10.1103/physrevx.7.011021

Cited by 38 publications

(52 citation statements)

References 50 publications

(117 reference statements)

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“…All control parameters of Hamiltonian H ′ 0 are added the label "′" to distinguish the Hamiltonian H 0 , and we set τ ′ 1 = T − τ 1 for brevity hereafter. Here, the remarkable difference with other periodic works [43][44][45] is that we cannot employ the Baker-Campbell-Hausdorff expansion to calculate the effective Hamiltonian H e f f , since the driving frequency ω = 2π T is demanded for the same magnitude to the energy gap in this periodic system. The method we adopt is to directly calculate the evolution operator within a period T , then achieve the effective Hamiltonian H e f f by definition U(T ) ≡ e −iH e f f T [46].…”

Section: Two-step Modulation In General Three-level Systemmentioning

confidence: 92%

Quantum state engineering by periodical two-step modulation in an atomic system

et al. 2018

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By periodical two-step modulation, we demonstrate that the dynamics of multilevel system can still evolve even in multiple large detunings regime, and provide the effective Hamiltonian (of interest) for this system. We then illustrate this periodical modulation in quantum state engineering, including achieving direct transition from the ground state to the Rydberg state or the desired superposition of two Rydberg states without satisfying two-photon resonance condition, switching between Rydberg blockade regime and Rydberg antiblockade regime, stimulating distinct atomic transitions by the same laser field, and implementing selective transitions in the same multilevel system. Particularly, it is robust against perturbation of control parameters. Another advantage is that the waveform of laser field has simple square-wave form which is readily implemented in experiments. Thus, it offers us a novel method of quantum state engineering in quantum information processing.

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Section: Two-step Modulation In General Three-level Systemmentioning

confidence: 92%

Quantum state engineering by periodical two-step modulation in an atomic system

et al. 2018

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“…We may use the projectors for the ILS and CLS from Eqs. (28) and (30) to decompose E into four channel components:…”

Section: B Coherent Leakage Ratesmentioning

confidence: 99%

Quantification and characterization of leakage errors

2018

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We present a general framework for the quantification and characterization of leakage errors that result when a quantum system is encoded in the subspace of a larger system. To do this we introduce new metrics for quantifying the coherent and incoherent properties of the resulting errors, and we illustrate this framework with several examples relevant to superconducting qubits. In particular, we propose two quantities: the leakage and seepage rates, which together with average gate fidelity allow for characterizing the average performance of quantum gates in the presence of leakage and show how the randomized benchmarking protocol can be modified to enable the robust estimation of all three quantities for a Clifford gate set. arXiv:1704.03081v1 [quant-ph]

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“…where Ω is the optical Rabi frequency, ∆ is the relevant dipole detuning, and Γex is the excited-state population decay rate. To suppress opticallyinduced decoherence, we can exploit a combination of techniques, such as dark states, shortcuts to adiabatic passage, and systematically-corrected control pulses [47][48][49], in addition to the use of a relatively large dipole detuning. Excited-state mediated spin-mechanical coupling via a dark state has already been demonstrated in an earlier experimental study [40].…”

Section: A Spin-mechanical Resonatorsmentioning

confidence: 99%

Scaling Phononic Quantum Networks of Solid-State Spins with Closed Mechanical Subsystems

Kuzyk¹,

Wang²

2018

Phys. Rev. X

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Phononic quantum networks feature distinct advantages over photonic networks for onchip quantum communications, providing a promising platform for developing quantum computers with robust solid-state spin qubits. Large mechanical networks including onedimensional chains of trapped ions, however, have inherent and well-known scaling problems. In addition, chiral phononic processes, which are necessary for conventional phononic quantum networks, are difficult to implement in a solid-state system. To overcome these seemingly unsolvable obstacles, we have developed a new network architecture that breaks a large mechanical network into small and closed mechanical subsystems. This architecture is implemented in a diamond phononic nanostructure featuring alternating phononic crystal waveguides with specially-designed bandgaps. The implementation also includes nanomechanical resonators coupled to color centers through phonon-assisted transitions as well as quantum state transfer protocols that can be robust against the thermal environment.

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Systematic Magnus-Based Approach for Suppressing Leakage and Nonadiabatic Errors in Quantum Dynamics

Cited by 38 publications

References 50 publications

Quantum state engineering by periodical two-step modulation in an atomic system

Quantum state engineering by periodical two-step modulation in an atomic system

Quantification and characterization of leakage errors

Scaling Phononic Quantum Networks of Solid-State Spins with Closed Mechanical Subsystems

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