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

Deterministic generation of remote entanglement with active quantum feedback

Journal Article · Thu Dec 10 00:00:00 EST 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.062321· OSTI ID:1236365

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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

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

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1236365

Alternate ID(s):: OSTI ID: 1546124

Report Number(s):: SAND--2015-2589J; 581955

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Issue: 6 Vol. 92; ISSN 1050-2947; ISSN PLRAAN

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (48)

States, Effects, and Operations Fundamental Notions of Quantum Theory Kraus, Karl; Böhm, A.; Dollard, J. D. https://doi.org/10.1007/3-540-12732-1	book	January 1983
An Open Systems Approach to Quantum Optics Carmichael, Howard Lecture Notes in Physics Monographs https://doi.org/10.1007/978-3-540-47620-7	book	January 1993
Optimality of Feedback Control Strategies for Qubit Purification Wiseman, Howard M.; Bouten, Luc Quantum Information Processing, Vol. 7, Issue 2-3 https://doi.org/10.1007/s11128-008-0075-8	journal	April 2008
Quantum Measurement and Control Wiseman, Howard M.; Milburn, Gerard J. https://doi.org/10.1017/CBO9780511813948	book	January 2009
Optical coherent state discrimination using a closed-loop quantum measurement Cook, Robert L.; Martin, Paul J.; Geremia, J. M. Nature, Vol. 446, Issue 7137 https://doi.org/10.1038/nature05655	journal	April 2007
Real-time quantum feedback prepares and stabilizes photon number states Sayrin, Clément; Dotsenko, Igor; Zhou, Xingxing Nature, Vol. 477, Issue 7362 https://doi.org/10.1038/nature10376	journal	August 2011
Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback Vijay, R.; Macklin, C.; Slichter, D. H. Nature, Vol. 490, Issue 7418 https://doi.org/10.1038/nature11505	journal	October 2012
Heralded entanglement between solid-state qubits separated by three metres Bernien, H.; Hensen, B.; Pfaff, W. Nature, Vol. 497, Issue 7447 https://doi.org/10.1038/nature12016	journal	April 2013
Deterministic entanglement of superconducting qubits by parity measurement and feedback Ristè, D.; Dukalski, M.; Watson, C. A. Nature, Vol. 502, Issue 7471 https://doi.org/10.1038/nature12513	journal	October 2013
Observing single quantum trajectories of a superconducting quantum bit Murch, K. W.; Weber, S. J.; Macklin, C. Nature, Vol. 502, Issue 7470 https://doi.org/10.1038/nature12539	journal	October 2013
Topological quantum computing with a very noisy network and local error rates approaching one percent Nickerson, Naomi H.; Li, Ying; Benjamin, Simon C. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2773	journal	April 2013
A straightforward introduction to continuous quantum measurement Jacobs, Kurt; Steck, Daniel A. Contemporary Physics, Vol. 47, Issue 5 https://doi.org/10.1080/00107510601101934	journal	September 2006
Quantum feedback control: how to use verification theorems and viscosity solutions to find optimal protocols Jacobs, Kurt; Shabani, Alireza Contemporary Physics, Vol. 49, Issue 6 https://doi.org/10.1080/00107510802601781	journal	November 2008
Fidelity for Mixed Quantum States Jozsa, Richard Journal of Modern Optics, Vol. 41, Issue 12 https://doi.org/10.1080/09500349414552171	journal	December 1994
Quantum feedback for rapid state preparation in the presence of control imperfections Combes, Joshua; Wiseman, Howard M. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 44, Issue 15 https://doi.org/10.1088/0953-4075/44/15/154008	journal	July 2011
Quantum trajectories and quantum measurement theory Wiseman, H. M. Quantum and Semiclassical Optics: Journal of the European Optical Society Part B, Vol. 8, Issue 1 https://doi.org/10.1088/1355-5111/8/1/015	journal	February 1996
Reconsidering rapid qubit purification by feedback Wiseman, H. M.; Ralph, J. F. New Journal of Physics, Vol. 8, Issue 6 https://doi.org/10.1088/1367-2630/8/6/090	journal	June 2006
Quantum theory of continuous feedback Wiseman, H. M. Physical Review A, Vol. 49, Issue 3 https://doi.org/10.1103/PhysRevA.49.2133	journal	March 1994
Linear stochastic wave equations for continuously measured quantum systems Goetsch, Peter; Graham, Robert Physical Review A, Vol. 50, Issue 6 https://doi.org/10.1103/PhysRevA.50.5242	journal	December 1994
Linear quantum trajectories: Applications to continuous projection measurements Jacobs, K.; Knight, P. L. Physical Review A, Vol. 57, Issue 4 https://doi.org/10.1103/PhysRevA.57.2301	journal	April 1998
Feedback-stabilization of an arbitrary pure state of a two-level atom Wang, Jin; Wiseman, H. M. Physical Review A, Vol. 64, Issue 6 https://doi.org/10.1103/PhysRevA.64.063810	journal	November 2001
Engineering quantum dynamics Lloyd, Seth; Viola, Lorenza Physical Review A, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevA.65.010101	journal	December 2001
Continuous quantum error correction via quantum feedback control Ahn, Charlene; Doherty, Andrew C.; Landahl, Andrew J. Physical Review A, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevA.65.042301	journal	March 2002
How to project qubits faster using quantum feedback Jacobs, Kurt Physical Review A, Vol. 67, Issue 3 https://doi.org/10.1103/PhysRevA.67.030301	journal	March 2003
Practical scheme for error control using feedback Sarovar, Mohan; Ahn, Charlene; Jacobs, Kurt Physical Review A, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevA.69.052324	journal	May 2004
Deterministic Dicke-state preparation with continuous measurement and control Stockton, John K.; van Handel, Ramon; Mabuchi, Hideo Physical Review A, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevA.70.022106	journal	August 2004
Quantum feedback in a weakly driven cavity QED system Reiner, J. E.; Smith, W. P.; Orozco, L. A. Physical Review A, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevA.70.023819	journal	August 2004
Dynamical creation of entanglement by homodyne-mediated feedback Wang, Jin; Wiseman, H. M.; Milburn, G. J. Physical Review A, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevA.71.042309	journal	April 2005
High-fidelity measurement and quantum feedback control in circuit QED Sarovar, Mohan; Goan, Hsi-Sheng; Spiller, T. P. Physical Review A, Vol. 72, Issue 6 https://doi.org/10.1103/PhysRevA.72.062327	journal	December 2005
Quantum control of a single qubit Brańczyk, Agata M.; Mendonça, Paulo E. M. F.; Gilchrist, Alexei Physical Review A, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevA.75.012329	journal	January 2007
Adaptive homodyne phase discrimination and qubit measurement Sarovar, Mohan; Whaley, K. Birgitta Physical Review A, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevA.76.052316	journal	November 2007
Weak measurement and control of entanglement generation Hill, Charles; Ralph, Jason Physical Review A, Vol. 77, Issue 1 https://doi.org/10.1103/PhysRevA.77.014305	journal	January 2008
Physical model of continuous two-qubit parity measurement in a cavity-QED network Kerckhoff, Joseph; Bouten, Luc; Silberfarb, Andrew Physical Review A, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevA.79.024305	journal	February 2009
Deterministic creation and stabilization of entanglement in circuit QED by homodyne-mediated feedback control Liu, Zhuo; Kuang, Lülin; Hu, Kai Physical Review A, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevA.82.032335	journal	September 2010
Optimality of qubit purification protocols in the presence of imperfections Li, Hanhan; Shabani, Alireza; Sarovar, Mohan Physical Review A, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevA.87.032334	journal	March 2013
Continuous joint measurement and entanglement of qubits in remote cavities Motzoi, Felix; Whaley, K. Birgitta; Sarovar, Mohan Physical Review A, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevA.92.032308	journal	September 2015
Observation of Measurement-Induced Entanglement and Quantum Trajectories of Remote Superconducting Qubits Roch, N.; Schwartz, M. E.; Motzoi, F. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.170501	journal	April 2014
Adaptive Phase Measurements of Optical Modes: Going Beyond the Marginal Q Distribution Wiseman, H. M. Physical Review Letters, Vol. 75, Issue 25 https://doi.org/10.1103/PhysRevLett.75.4587	journal	December 1995
Inversion of Quantum Jumps in Quantum Optical Systems under Continuous Observation Mabuchi, H.; Zoller, P. Physical Review Letters, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevLett.76.3108	journal	April 1996
Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels Bennett, Charles H.; Brassard, Gilles; Popescu, Sandu Physical Review Letters, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevLett.76.722	journal	January 1996
Entanglement of a Pair of Quantum Bits Hill, Scott; Wootters, William K. Physical Review Letters, Vol. 78, Issue 26 https://doi.org/10.1103/PhysRevLett.78.5022	journal	June 1997
Entanglement of Formation of an Arbitrary State of Two Qubits Wootters, William K. Physical Review Letters, Vol. 80, Issue 10 https://doi.org/10.1103/PhysRevLett.80.2245	journal	March 1998
Conditions for a Class of Entanglement Transformations Nielsen, M. A. Physical Review Letters, Vol. 83, Issue 2 https://doi.org/10.1103/PhysRevLett.83.436	journal	July 1999
Quantum Feedback Control of Atomic Motion in an Optical Cavity Steck, Daniel A.; Jacobs, Kurt; Mabuchi, Hideo Physical Review Letters, Vol. 92, Issue 22 https://doi.org/10.1103/PhysRevLett.92.223004	journal	June 2004
Rapid State Reduction of Quantum Systems Using Feedback Control Combes, Joshua; Jacobs, Kurt Physical Review Letters, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevLett.96.010504	journal	January 2006
Feedback control of quantum state reduction van Handel, R.; Stockton, J. K.; Mabuchi, H. IEEE Transactions on Automatic Control, Vol. 50, Issue 6 https://doi.org/10.1109/TAC.2005.849193	journal	June 2005
Heralded Entanglement Between Widely Separated Atoms Hofmann, Julian; Krug, Michael; Ortegel, Norbert Science, Vol. 337, Issue 6090 https://doi.org/10.1126/science.1221856	journal	July 2012
The Atom-Cavity Microscope: Single Atoms Bound in Orbit by Single Photons Hood, C. J. Science, Vol. 287, Issue 5457 https://doi.org/10.1126/science.287.5457.1447	journal	February 2000

Cited By (2)

Precise single-qubit control of the reflection phase of a photon mediated by a strongly-coupled ancilla–cavity system Motzoi, F.; Mølmer, K. New Journal of Physics, Vol. 20, Issue 5 https://doi.org/10.1088/1367-2630/aac0be	journal	May 2018
Measurement-induced long-distance entanglement of superconducting qubits using optomechanical transducers Černotík, Ondřej; Hammerer, Klemens Physical Review A, Vol. 94, Issue 1 https://doi.org/10.1103/physreva.94.012340	journal	July 2016

Similar Records

Deterministic polarization-entanglement purification using spatial entanglement

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:21452619

Quantum-state engineering assisted by entanglement

Journal Article · Mon Mar 31 23:00:00 EST 2003 · Physical Review. A · OSTI ID:20633934

What is the optimal way to prepare a Bell state using measurement and feedback?

Journal Article · Mon Aug 21 20:00:00 EDT 2017 · Quantum Science and Technology · OSTI ID:1575229

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Deterministic generation of remote entanglement with active quantum feedback

Citation Formats

References (48)

Cited By (2)

Similar Records

Related Subjects