Small, Highly Accurate Quantum Processor for Intermediate-Depth Quantum Simulations

Lysne, Nathan; Kuper, Kevin W.; Poggi, Pablo M.; Deutsch, Ivan; Jessen, Poul

doi:10.1103/physrevlett.124.230501

Cited by 27 publications

(24 citation statements)

References 41 publications

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“…We rigorously derive this relation for both static and dynamical models of imperfect quantum simulators. Crucially, we demonstrate the predictive power of our framework in a real-world quantum simulator based on quantum control of atomic spins [20], and show that the imperfections that naturally affect the device lead to errors whose behavior is in excellent agreement with our theoretical findings.…”

Section: Introductionsupporting

confidence: 64%

“…On our experimental platform, previously introduced in Ref. [20], information is encoded in the hyperfine ground manifold of individual cesium atoms. This space is spanned by the logical basis {|F, m } labeled by hyperfine spin quantum numbers F = 3, 4 and −F ≤ m ≤ F, comprising a 16-dimensional Hilbert space.…”

Section: Experimental Quantum Simulation Resultsmentioning

confidence: 99%

“…Plots (b) and (d) show the time-dependent error in the expectation values δ(S y , t) computed for these cases. Data in panel (c) are also shown in Ref [20]…”

mentioning

confidence: 86%

“…The rf fields are tuned to the Larmor precession frequency in the bias field, and the microwave field is tuned to the transition between the |3, 3 and |4, 4 states. Phase-modulation waveforms that implement a desired transformation U ∈ SU (16) are found using either conventional optimal control, or a variant optimized for an AQS that searches for co-optimal control fields and system-simulator maps using an approach called eigenvalue-only (EVO) control [20]. The two protocols generate (nonunique) control waveforms consisting of 150 and 20 discrete phase steps, respectively, corresponding to waveform durations of 600 and 80 μs, with typical fidelities F = 0.985 and F = 0.995 as estimated by randomized benchmarking.…”

Section: Quantum Controlmentioning

confidence: 99%

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Quantifying the Sensitivity to Errors in Analog Quantum Simulation

et al. 2020

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Quantum simulators are widely seen as one of the most promising near-term applications of quantum technologies. However, it remains unclear to what extent a noisy device can output reliable results in the presence of unavoidable imperfections. Here we propose a framework to characterize the performance of quantum simulators by linking the robustness of measured quantum expectation values to the spectral properties of the output observable, which in turn can be associated with its macroscopic or microscopic character. We show that, under general assumptions and on average over all states, imperfect devices are able to reproduce the dynamics of macroscopic observables accurately, while the relative error in the expectation value of microscopic observables is much larger on average. We experimentally demonstrate the universality of these features in a state-of-the-art quantum simulator and show that the predicted behavior is generic for a highly accurate device, without assuming any detailed knowledge about the nature of the imperfections.

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Section: Introductionsupporting

confidence: 64%

Section: Experimental Quantum Simulation Resultsmentioning

confidence: 99%

“…Plots (b) and (d) show the time-dependent error in the expectation values δ(S y , t) computed for these cases. Data in panel (c) are also shown in Ref [20]…”

mentioning

confidence: 86%

Section: Quantum Controlmentioning

confidence: 99%

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Quantifying the Sensitivity to Errors in Analog Quantum Simulation

et al. 2020

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“…near-term devices, since even the most accurate analog quantum simulations typically have fidelities that decay far below this level 22 .…”

Section: Overview Of Verification Protocolsmentioning

confidence: 99%

Practical verification protocols for analog quantum simulators

et al. 2021

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Analog quantum simulation is expected to be a significant application of near-term quantum devices. Verification of these devices without comparison to known simulation results will be an important task as the system size grows beyond the regime that can be simulated classically. We introduce a set of experimentally-motivated verification protocols for analog quantum simulators, discussing their sensitivity to a variety of error sources and their scalability to larger system sizes. We demonstrate these protocols experimentally using a two-qubit trapped-ion analog quantum simulator and numerically using models of up to five qubits.

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Digital quantum simulation of non-equilibrium quantum many-body systems

Fauseweh

Zhu

2021

Quantum Inf Process

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Small, Highly Accurate Quantum Processor for Intermediate-Depth Quantum Simulations

Cited by 27 publications

References 41 publications

Quantifying the Sensitivity to Errors in Analog Quantum Simulation

Quantifying the Sensitivity to Errors in Analog Quantum Simulation

Practical verification protocols for analog quantum simulators

Digital quantum simulation of non-equilibrium quantum many-body systems

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