Monitoring-induced entanglement entropy and sampling complexity
Abstract
The dynamics of open quantum systems is generally described by a master equation, which describes the loss of information into the environment. By using a simple model of uncoupled emitters, we illustrate how the recovery of this information depends on the monitoring scheme applied to register the decay clicks. The dissipative dynamics, in this case, is described by pure-state stochastic trajectories, and we examine different unravelings of the same master equation. More precisely, we demonstrate how registering the sequence of clicks from spontaneously emitted photons through a linear optical interferometer induces entanglement in the trajectory states. Since this model consists of an array of single-photon emitters, we show a direct equivalence with Fock-state boson sampling and link the hardness of sampling the outcomes of the quantum jumps with the scaling of trajectory entanglement.
Additional Information
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. (Received 1 February 2022; accepted 12 July 2022; published 9 August 2022) We acknowledge stimulating discussions with Alireza Seif and Dominik Hangleiter. M.V.R., H.D., and M.H. were sponsored by ARO W911NF2010232, AFOSR FA9550-19-1-0399, NSF OMA-2120757, QSA-DOE, and the Simons Foundation. L.P.G.-P. and A.V.G. acknowledge funding by the DOE ASCR Accelerated Research in Quantum Computing program (Award No. DE-SC0020312), DARPA SAVaNT ADVENT, NSF QLCI (Award No. OMA-2120757), DOE QSA, ARO MURI, DOE ASCR Quantum Testbed Pathfinder program (Award No. DE-SC0019040), NSF PFCQC program, AFOSR, AFOSR MURI, and U.S. Department of Energy Award No. DE-SC0019449. A.D. acknowledges support from the National Science Foundation (RAISE-TAQS 1839204). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center (PHY-1733907). This work used the Extreme Science and Engineering Discovery Environment (XSEDE), supported by National Science Foundation Grants No. ACI-1548562 and ACI-1928147, at the Pittsburgh Supercomputing Center (PSC) [57].Attached Files
Published - PhysRevResearch.4.L032021.pdf
Accepted Version - 2201.12672.pdf
Supplemental Material - unravelling_entanglement_boson_sampling.pdf
Files
Additional details
- Eprint ID
- 116188
- Resolver ID
- CaltechAUTHORS:20220809-495520000
- W911NF2010232
- Army Research Office (ARO)
- FA9550-19-1-0399
- Air Force Office of Scientific Research (AFOSR)
- OMA-2120757
- NSF
- Simons Foundation
- DE-SC0020312
- Department of Energy (DOE)
- Defense Advanced Research Projects Agency (DARPA)
- DE-SC0019040
- Department of Energy (DOE)
- DE-SC0019449
- Department of Energy (DOE)
- CCF-1839204
- NSF
- PHY-1733907
- NSF
- ACI-1548562
- NSF
- ACI-1928147
- NSF
- Created
-
2022-08-11Created from EPrint's datestamp field
- Updated
-
2022-08-11Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter