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Title: Continuous joint measurement and entanglement of qubits in remote cavities

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [1];  [2]
  1. Berkeley Center for Quantum Information and Computation, Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
+ Show Author Affiliations

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.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
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; PLRAAN; 665236
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 3; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

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Cited By (4)

Uncertainty decomposition of quantum networks in SLH framework journal October 2019
The SLH framework for modeling quantum input-output networks journal May 2017
Precise single-qubit control of the reflection phase of a photon mediated by a strongly-coupled ancilla–cavity system journal May 2018
Quantum Bayesian approach to circuit QED measurement with moderate bandwidth text January 2016

Figures / Tables (8)

FIG. 1(p. 2)figure FIG. 1
FIG. 2(p. 3)figure FIG. 2
FIG. 3(p. 6)figure FIG. 3
FIG. 4(p. 8)figure FIG. 4
FIG. 5(p. 8)figure FIG. 5
FIG. 6(p. 9)figure FIG. 6
FIG. 7(p. 10)figure FIG. 7
FIG. 8(p. 11)figure FIG. 8

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS