Simplified quantum error detection and correction for superconducting qubits

Keane, Kyle; Korotkov, Alexander N.

doi:10.1103/physreva.86.012333

Cited by 16 publications

(15 citation statements)

References 54 publications

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“…Monitoring a quantum state by weak measurements also makes it possible to "uncollapse" quantum states and achieve decoherence suppression by quantum measurement reversal [351][352][353][354]…”

Section: Feedback Controlmentioning

confidence: 99%

Quantum information processing with superconducting circuits: a review

2017

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During the last ten years, superconducting circuits have passed from being interesting physical devices to becoming contenders for near-future useful and scalable quantum information processing (QIP). Advanced quantum simulation experiments have been shown with up to nine qubits, while a demonstration of quantum supremacy with fifty qubits is anticipated in just a few years. Quantum supremacy means that the quantum system can no longer be simulated by the most powerful classical supercomputers. Integrated classical-quantum computing systems are already emerging that can be used for software development and experimentation, even via web interfaces. Therefore, the time is ripe for describing some of the recent development of superconducting devices, systems and applications. As such, the discussion of superconducting qubits and circuits is limited to devices that are proven useful for current or near future applications. Consequently, the centre of interest is the practical applications of QIP, such as computation and simulation in Physics and Chemistry.

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Section: Feedback Controlmentioning

confidence: 99%

Quantum information processing with superconducting circuits: a review

2017

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“…The feedback is thus capable of eliminating the effect of atomic collisions on the linewidth of the laser [182,183]. Continuous-time feedback has also been applied to quantum error correction, a technique that is able to slow the decoherence of unknown quantum states [114,115,[184][185][186][187][188]. By "unknown", we mean that the controller is able to preserve the initial state without knowing what the state is.…”

Section: Applications 251 Noise Reduction and Quantum Error Correcmentioning

confidence: 99%

Quantum feedback: Theory, experiments, and applications

et al. 2017

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The control of individual quantum systems is now a reality in a variety of physical settings. Feedback control is an important class of control methods because of its ability to reduce the effects of noise. In this review we give an introductory overview of the various ways in which feedback may be implemented in quantum systems, the theoretical methods that are currently used to treat it, the experiments in which it has been demonstrated to-date, and its applications. In the last few years there has been rapid experimental progress in the ability to realize quantum measurement and control of mesoscopic systems. We expect that the next few years will see further rapid advances in the precision and sophistication of feedback control protocols realized in the laboratory.

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“…(9). To average this fidelity over the Bloch sphere of initial states, it is sufficient [48] (see also [50]) to average it over only six states: |0 , |1 , (|0 ± |1 )/ √ 2, and (|0 ± i|1 )/ √ 2. This gives F st = (3 + η + 2 √ η)/6, which can be converted into the process fidelity…”

Section: Rmentioning

confidence: 99%

“…We then trace over the ancillary arm state to find the resulting density matrix ρ fin , which can now contain nonzero elements (ρ fin ) mn for arbitrary m and n. However, the state fidelity for the qubit transfer depends only on the elements within the qubit subspace, F st = |α 0 | 2 (ρ fin ) 00 + |α 1 | 2 (ρ fin ) 11 + 2 Re[α * 0 α 1 (ρ fin ) 01 ]. Averaging F st over the initial qubit state [48][49][50], we obtain after some algebra…”

Section: Decrease Of the Average State Fidelity Due To Photons In Thementioning

confidence: 99%

Robust quantum state transfer using tunable couplers

2015

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We analyze the transfer of a quantum state between two resonators connected by a superconducting transmission line. Nearly perfect state-transfer efficiency can be achieved by using adjustable couplers and destructive interference to cancel the back-reflection into the transmission line at the receiving coupler. We show that the transfer protocol is robust to parameter variations affecting the transmission amplitudes of the couplers. We also show that the effects of Gaussian filtering, pulse-shape noise, and multiple reflections on the transfer efficiency are insignificant. However, the transfer protocol is very sensitive to frequency mismatch between the two resonators. Moreover, the tunable coupler we considered produces time-varying frequency detuning caused by the changing coupling. This detuning requires an active frequency compensation with an accuracy better than 90% to yield the transfer efficiency above 99%.Comment: 25 pages, 17 figures; published versio

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Simplified quantum error detection and correction for superconducting qubits

Cited by 16 publications

References 54 publications

Quantum information processing with superconducting circuits: a review

Quantum information processing with superconducting circuits: a review

Quantum feedback: Theory, experiments, and applications

Robust quantum state transfer using tunable couplers

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