A Multi-Qubit Quantum Gate Using the Zeno Effect

Lewalle, Philippe; Martin, Leigh S.; Flurin, Emmanuel; Zhang, Song; Blumenthal, Eliya; Hacohen-Gourgy, Shay; Burgarth, Daniel; Whaley, K. Birgitta

doi:10.22331/q-2023-09-07-1100

Title: A Multi-Qubit Quantum Gate Using the Zeno Effect

Journal Article · 07 September 2023 · Quantum

DOI: https://doi.org/10.22331/q-2023-09-07-1100 · OSTI ID:1998804

Lewalle, Philippe ^[1]; Martin, Leigh S. ^[1]; Flurin, Emmanuel ^[1]; Zhang, Song ^[2]; Blumenthal, Eliya ^[3]; Hacohen-Gourgy, Shay ^[3]; Burgarth, Daniel ^[4]; Whaley, K. Birgitta ^[1]

University of California, Berkeley, CA (United States). Berkeley Quantum Information and Computation Center (BQIC)
University of California, Berkeley, CA (United States)
Technion-Israel Institute of Technology, Haifa (Israel)
Macquarie University, NSW (Australia)

The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguish between states in a subspace, the dynamics within that subspace can be profoundly altered, leading to non-trivial behavior. Here we show that such a measurement can turn a non-interacting system with only single-qubit control into a two- or multi-qubit entangling gate, which we call a Zeno gate. The gate works by imparting a geometric phase on the system, conditioned on it lying within a particular nonlocal subspace. We derive simple closed-form expressions for the gate fidelity under a number of non-idealities and show that the gate is viable for implementation in circuit and cavity QED systems. More specifically, we illustrate the functioning of the gate via dispersive readout in both the Markovian and non-Markovian readout regimes, and derive conditions for longitudinal readout to ideally realize the gate.

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Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). Quantum Systems Accelerator (QSA)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); U.S.-Israel Binational Science Foundation (BSF); Israel Science Foundation (ISF)

Grant/Contract Number:: AC02-05CH11231; 1106400; 2020166

OSTI ID:: 1998804

Alternate ID(s):: OSTI ID: 2423158

Journal Information:: Quantum, Vol. 7; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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