Continuous joint measurement and entanglement of qubits in remote cavities

Motzoi, Felix; Whaley, K. Birgitta; Sarovar, Mohan

doi:10.1103/PhysRevA.92.032308

Continuous joint measurement and entanglement of qubits in remote cavities

Journal Article · Tue Sep 08 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.032308· OSTI ID:1512916

Motzoi, Felix ^[1]; Whaley, K. Birgitta ^[1]; Sarovar, Mohan ^[2]

Berkeley Center for Quantum Information and Computation, Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

We present a first-principles theoretical analysis of the entanglement of two superconducting qubits in spatially separated microwave cavities by a sequential (cascaded) probe of the two cavities with a coherent mode, that provides a full characterization of both the continuous measurement induced dynamics and the entanglement generation. We use the SLH formalism to derive the full quantum master equation for the coupled qubits and cavities system, within the rotating wave and dispersive approximations, and conditioned equations for the cavity fields. We then develop effective stochastic master equations for the dynamics of the qubit system in both a polaronic reference frame and a reduced representation within the laboratory frame. We compare simulations with and analyze tradeoffs between these two representations, including the onset of a non-Markovian regime for simulations in the reduced representation. We provide conditions for ensuring persistence of entanglement and show that using shaped pulses enables these conditions to be met at all times under general experimental conditions. The resulting entanglement is shown to be robust with respect to measurement imperfections and loss channels. Here, we also study the effects of qubit driving and relaxation dynamics during a weak measurement, as a prelude to modeling measurement-based feedback control in this cascaded system.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-CA), Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1512916

Alternate ID(s):: OSTI ID: 1214342

Report Number(s):: SAND--2015-0988J; 665236

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Issue: 3 Vol. 92; ISSN 1050-2947; ISSN PLRAAN

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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