Deterministic generation of remote entanglement with active quantum feedback

Martin, Leigh; Motzoi, Felix; Li, Hanhan; Sarovar, Mohan; Whaley, K. Birgitta

doi:10.1103/PhysRevA.92.062321

Title: Deterministic generation of remote entanglement with active quantum feedback

Abstract

We develop and study protocols for deterministic remote entanglement generation using quantum feedback, without relying on an entangling Hamiltonian. In order to formulate the most effective experimentally feasible protocol, we introduce the notion of average-sense locally optimal feedback protocols, which do not require real-time quantum state estimation, a difficult component of real-time quantum feedback control. We use this notion of optimality to construct two protocols that can deterministically create maximal entanglement: a semiclassical feedback protocol for low-efficiency measurements and a quantum feedback protocol for high-efficiency measurements. The latter reduces to direct feedback in the continuous-time limit, whose dynamics can be modeled by a Wiseman-Milburn feedback master equation, which yields an analytic solution in the limit of unit measurement efficiency. Our formalism can smoothly interpolate between continuous-time and discrete-time descriptions of feedback dynamics and we exploit this feature to derive a superior hybrid protocol for arbitrary nonunit measurement efficiency that switches between quantum and semiclassical protocols. Lastly, we show using simulations incorporating experimental imperfections that deterministic entanglement of remote superconducting qubits may be achieved with current technology using the continuous-time feedback protocol alone.

Authors:

Martin, Leigh ^[1]; Motzoi, Felix ^[1]; Li, Hanhan ^[1]; Sarovar, Mohan ^[2]; Whaley, K. Birgitta ^[1]

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)

Publication Date:: Thu Dec 10 00:00:00 EST 2015

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1236365

Alternate Identifier(s):: OSTI ID: 1546124

Report Number(s):: SAND-2015-2589J
Journal ID: ISSN 1050-2947; PLRAAN; 581955

Grant/Contract Number:: AC04-94AL85000; AC04-94AL8

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review A - Atomic, Molecular, and Optical Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Martin, Leigh, Motzoi, Felix, Li, Hanhan, Sarovar, Mohan, and Whaley, K. Birgitta. Deterministic generation of remote entanglement with active quantum feedback.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevA.92.062321.

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                    Martin, Leigh, Motzoi, Felix, Li, Hanhan, Sarovar, Mohan, & Whaley, K. Birgitta. Deterministic generation of remote entanglement with active quantum feedback.  United States.  https://doi.org/10.1103/PhysRevA.92.062321

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                    Martin, Leigh, Motzoi, Felix, Li, Hanhan, Sarovar, Mohan, and Whaley, K. Birgitta. Thu .  
"Deterministic generation of remote entanglement with active quantum feedback".  United States.  https://doi.org/10.1103/PhysRevA.92.062321.  https://www.osti.gov/servlets/purl/1236365.

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@article{osti_1236365,

  title        = {Deterministic generation of remote entanglement with active quantum feedback},

  author       = {Martin, Leigh and Motzoi, Felix and Li, Hanhan and Sarovar, Mohan and Whaley, K. Birgitta},

  abstractNote = {We develop and study protocols for deterministic remote entanglement generation using quantum feedback, without relying on an entangling Hamiltonian. In order to formulate the most effective experimentally feasible protocol, we introduce the notion of average-sense locally optimal feedback protocols, which do not require real-time quantum state estimation, a difficult component of real-time quantum feedback control. We use this notion of optimality to construct two protocols that can deterministically create maximal entanglement: a semiclassical feedback protocol for low-efficiency measurements and a quantum feedback protocol for high-efficiency measurements. The latter reduces to direct feedback in the continuous-time limit, whose dynamics can be modeled by a Wiseman-Milburn feedback master equation, which yields an analytic solution in the limit of unit measurement efficiency. Our formalism can smoothly interpolate between continuous-time and discrete-time descriptions of feedback dynamics and we exploit this feature to derive a superior hybrid protocol for arbitrary nonunit measurement efficiency that switches between quantum and semiclassical protocols. Lastly, we show using simulations incorporating experimental imperfections that deterministic entanglement of remote superconducting qubits may be achieved with current technology using the continuous-time feedback protocol alone.},

  doi          = {10.1103/PhysRevA.92.062321},

  journal      = {Physical Review A - Atomic, Molecular, and Optical Physics},

  number       = 6,

  volume       = 92,

  place        = {United States},

  year         = {Thu Dec 10 00:00:00 EST 2015},

  month        = {Thu Dec 10 00:00:00 EST 2015}

}

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Works referencing / citing this record:

Precise single-qubit control of the reflection phase of a photon mediated by a strongly-coupled ancilla–cavity system
journal, May 2018

Motzoi, F.; Mølmer, K.
New Journal of Physics, Vol. 20, Issue 5
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Title: Deterministic generation of remote entanglement with active quantum feedback

Abstract

Citation Formats

An Open Systems Approach to Quantum Optics book, January 1993

The Atom-Cavity Microscope: Single Atoms Bound in Orbit by Single Photons journal, February 2000

Observing single quantum trajectories of a superconducting quantum bit journal, October 2013

Observation of Measurement-Induced Entanglement and Quantum Trajectories of Remote Superconducting Qubits journal, April 2014

Quantum Measurement and Control book, January 2009

Quantum feedback in a weakly driven cavity QED system journal, August 2004

Real-time quantum feedback prepares and stabilizes photon number states journal, August 2011

Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback journal, October 2012

How to project qubits faster using quantum feedback journal, March 2003

Reconsidering rapid qubit purification by feedback journal, June 2006

Rapid State Reduction of Quantum Systems Using Feedback Control journal, January 2006

Optimality of Feedback Control Strategies for Qubit Purification journal, April 2008

Quantum feedback for rapid state preparation in the presence of control imperfections journal, July 2011

Optimality of qubit purification protocols in the presence of imperfections journal, March 2013

Quantum control of a single qubit journal, January 2007

Adaptive Phase Measurements of Optical Modes: Going Beyond the Marginal Q Distribution journal, December 1995

Optical coherent state discrimination using a closed-loop quantum measurement journal, April 2007

Adaptive homodyne phase discrimination and qubit measurement journal, November 2007

Inversion of Quantum Jumps in Quantum Optical Systems under Continuous Observation journal, April 1996

Feedback-stabilization of an arbitrary pure state of a two-level atom journal, November 2001

Quantum Feedback Control of Atomic Motion in an Optical Cavity journal, June 2004

Deterministic Dicke-state preparation with continuous measurement and control journal, August 2004

Feedback control of quantum state reduction journal, June 2005

Deterministic entanglement of superconducting qubits by parity measurement and feedback journal, October 2013

Dynamical creation of entanglement by homodyne-mediated feedback journal, April 2005

High-fidelity measurement and quantum feedback control in circuit QED journal, December 2005

Physical model of continuous two-qubit parity measurement in a cavity-QED network journal, February 2009

Deterministic creation and stabilization of entanglement in circuit QED by homodyne-mediated feedback control journal, September 2010

Topological quantum computing with a very noisy network and local error rates approaching one percent journal, April 2013

Conditions for a Class of Entanglement Transformations journal, July 1999

Engineering quantum dynamics journal, December 2001

Continuous joint measurement and entanglement of qubits in remote cavities journal, September 2015

A straightforward introduction to continuous quantum measurement journal, September 2006

States, Effects, and Operations Fundamental Notions of Quantum Theory book, January 1983

Fidelity for Mixed Quantum States journal, December 1994

Entanglement of Formation of an Arbitrary State of Two Qubits journal, March 1998

Weak measurement and control of entanglement generation journal, January 2008

Quantum theory of continuous feedback journal, March 1994

Entanglement of a Pair of Quantum Bits journal, June 1997

Heralded Entanglement Between Widely Separated Atoms journal, July 2012

Heralded entanglement between solid-state qubits separated by three metres journal, April 2013

Quantum feedback control: how to use verification theorems and viscosity solutions to find optimal protocols journal, November 2008

Quantum trajectories and quantum measurement theory journal, February 1996

Linear quantum trajectories: Applications to continuous projection measurements journal, April 1998

Precise single-qubit control of the reflection phase of a photon mediated by a strongly-coupled ancilla–cavity system journal, May 2018

An Open Systems Approach to Quantum Optics
book, January 1993

The Atom-Cavity Microscope: Single Atoms Bound in Orbit by Single Photons
journal, February 2000

Observing single quantum trajectories of a superconducting quantum bit
journal, October 2013

Observation of Measurement-Induced Entanglement and Quantum Trajectories of Remote Superconducting Qubits
journal, April 2014

Quantum Measurement and Control
book, January 2009

Quantum feedback in a weakly driven cavity QED system
journal, August 2004

Real-time quantum feedback prepares and stabilizes photon number states
journal, August 2011

Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback
journal, October 2012

How to project qubits faster using quantum feedback
journal, March 2003

Reconsidering rapid qubit purification by feedback
journal, June 2006

Rapid State Reduction of Quantum Systems Using Feedback Control
journal, January 2006

Optimality of Feedback Control Strategies for Qubit Purification
journal, April 2008

Quantum feedback for rapid state preparation in the presence of control imperfections
journal, July 2011

Optimality of qubit purification protocols in the presence of imperfections
journal, March 2013

Quantum control of a single qubit
journal, January 2007

Adaptive Phase Measurements of Optical Modes: Going Beyond the Marginal $Q$ Distribution
journal, December 1995

Optical coherent state discrimination using a closed-loop quantum measurement
journal, April 2007

Adaptive homodyne phase discrimination and qubit measurement
journal, November 2007

Inversion of Quantum Jumps in Quantum Optical Systems under Continuous Observation
journal, April 1996

Feedback-stabilization of an arbitrary pure state of a two-level atom
journal, November 2001

Quantum Feedback Control of Atomic Motion in an Optical Cavity
journal, June 2004

Deterministic Dicke-state preparation with continuous measurement and control
journal, August 2004

Feedback control of quantum state reduction
journal, June 2005

Deterministic entanglement of superconducting qubits by parity measurement and feedback
journal, October 2013

Dynamical creation of entanglement by homodyne-mediated feedback
journal, April 2005

High-fidelity measurement and quantum feedback control in circuit QED
journal, December 2005

Physical model of continuous two-qubit parity measurement in a cavity-QED network
journal, February 2009

Deterministic creation and stabilization of entanglement in circuit QED by homodyne-mediated feedback control
journal, September 2010

Topological quantum computing with a very noisy network and local error rates approaching one percent
journal, April 2013

Conditions for a Class of Entanglement Transformations
journal, July 1999

Engineering quantum dynamics
journal, December 2001

Continuous joint measurement and entanglement of qubits in remote cavities
journal, September 2015

A straightforward introduction to continuous quantum measurement
journal, September 2006

States, Effects, and Operations Fundamental Notions of Quantum Theory
book, January 1983

Fidelity for Mixed Quantum States
journal, December 1994

Entanglement of Formation of an Arbitrary State of Two Qubits
journal, March 1998

Weak measurement and control of entanglement generation
journal, January 2008

Quantum theory of continuous feedback
journal, March 1994

Entanglement of a Pair of Quantum Bits
journal, June 1997

Heralded Entanglement Between Widely Separated Atoms
journal, July 2012

Heralded entanglement between solid-state qubits separated by three metres
journal, April 2013

Quantum feedback control: how to use verification theorems and viscosity solutions to find optimal protocols
journal, November 2008

Quantum trajectories and quantum measurement theory
journal, February 1996

Linear quantum trajectories: Applications to continuous projection measurements
journal, April 1998

Precise single-qubit control of the reflection phase of a photon mediated by a strongly-coupled ancilla–cavity system
journal, May 2018