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Title: Quantum state reduction: Generalized bipartitions from algebras of observables

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1603726
Grant/Contract Number:  
[SC0011632]
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
[Journal Name: Physical Review A Journal Volume: 101 Journal Issue: 3]; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Kabernik, Oleg, Pollack, Jason, and Singh, Ashmeet. Quantum state reduction: Generalized bipartitions from algebras of observables. United States: N. p., 2020. Web. doi:10.1103/PhysRevA.101.032303.
Kabernik, Oleg, Pollack, Jason, & Singh, Ashmeet. Quantum state reduction: Generalized bipartitions from algebras of observables. United States. doi:10.1103/PhysRevA.101.032303.
Kabernik, Oleg, Pollack, Jason, and Singh, Ashmeet. Thu . "Quantum state reduction: Generalized bipartitions from algebras of observables". United States. doi:10.1103/PhysRevA.101.032303.
@article{osti_1603726,
title = {Quantum state reduction: Generalized bipartitions from algebras of observables},
author = {Kabernik, Oleg and Pollack, Jason and Singh, Ashmeet},
abstractNote = {},
doi = {10.1103/PhysRevA.101.032303},
journal = {Physical Review A},
number = [3],
volume = [101],
place = {United States},
year = {2020},
month = {3}
}

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Works referenced in this record:

The emergence of classical properties through interaction with the environment
journal, June 1985

  • Joos, E.; Zeh, H. D.
  • Zeitschrift für Physik B Condensed Matter, Vol. 59, Issue 2
  • DOI: 10.1007/BF01725541

Characterizing the Structure of Preserved Information in Quantum Processes
journal, January 2008


Virtual Quantum Subsystems
journal, July 2001


Somewhere in the universe: Where is the information stored when histories decohere?
journal, October 1999


Theory of Quantum Error Correction for General Noise
journal, March 2000


Quantum Tensor Product Structures are Observable Induced
journal, February 2004


Entanglement and Particle Identity: A Unifying Approach
journal, February 2013


A numerical algorithm for block-diagonal decomposition of matrix $${*}$$ -algebras with application to semidefinite programming
journal, May 2010

  • Murota, Kazuo; Kanno, Yoshihiro; Kojima, Masakazu
  • Japan Journal of Industrial and Applied Mathematics, Vol. 27, Issue 1
  • DOI: 10.1007/s13160-010-0006-9

The rise and fall of redundancy in decoherence and quantum Darwinism
journal, August 2012


Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldern
journal, December 1961


Operator quantum error-correcting subsystems for self-correcting quantum memories
journal, January 2006


Gauge theory correlators from non-critical string theory
journal, May 1998


Indirect Evidence for Quantum Gravity
journal, October 1981


Emerging dynamics arising from coarse-grained quantum systems
journal, September 2017

  • Duarte, Cristhiano; Carvalho, Gabriel Dias; Bernardes, Nadja K.
  • Physical Review A, Vol. 96, Issue 3
  • DOI: 10.1103/PhysRevA.96.032113

Consistent histories and the interpretation of quantum mechanics
journal, July 1984

  • Griffiths, Robert B.
  • Journal of Statistical Physics, Vol. 36, Issue 1-2
  • DOI: 10.1007/BF01015734

Unified and Generalized Approach to Quantum Error Correction
journal, May 2005


A general theoretical framework for decoherence in open and closed systems
journal, July 2008


Decoherence: A Closed-System Approach
journal, August 2013

  • Fortin, Sebastian; Lombardi, Olimpia; Castagnino, Mario
  • Brazilian Journal of Physics, Vol. 44, Issue 1
  • DOI: 10.1007/s13538-013-0151-0

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

  • Almheiri, Ahmed; Dong, Xi; Harlow, Daniel
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)163

Nonequilibrium Equality for Free Energy Differences
journal, April 1997


Anti de Sitter space and holography
journal, January 1998


Noiseless Subsystems and the Structure of the Commutant in Quantum Error Correction
journal, October 2003


Locality from the Spectrum
journal, February 2019

  • Cotler, Jordan S.; Penington, Geoffrey R.; Ranard, Daniel H.
  • Communications in Mathematical Physics, Vol. 368, Issue 3
  • DOI: 10.1007/s00220-019-03376-w

Universal quantum computation with the exchange interaction
journal, November 2000

  • DiVincenzo, D. P.; Bacon, D.; Kempe, J.
  • Nature, Vol. 408, Issue 6810
  • DOI: 10.1038/35042541

The Hilbert space of quantum gravity is locally finite-dimensional
journal, October 2017

  • Bao, Ning; Carroll, Sean M.; Singh, Ashmeet
  • International Journal of Modern Physics D, Vol. 26, Issue 12
  • DOI: 10.1142/S0218271817430131

Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
journal, July 2016


Large N field theories, string theory and gravity
journal, January 2000


Triorthogonal uniqueness theorem and its relevance to the interpretation of quantum mechanics
journal, May 1994


Erratum: Diffeomorphism-invariant observables and their nonlocal algebra [Phys. Rev. D 93 , 024030 (2016)]
journal, July 2016


Decoherence, einselection, and the quantum origins of the classical
journal, May 2003


Beyond toy models: distilling tensor networks in full AdS/CFT
journal, November 2019

  • Bao, Ning; Penington, Geoffrey; Sorce, Jonathan
  • Journal of High Energy Physics, Vol. 2019, Issue 11
  • DOI: 10.1007/JHEP11(2019)069

Quantum Compression Relative to a Set of Measurements
journal, March 2018


Space from Hilbert space: Recovering geometry from bulk entanglement
journal, January 2017


Diffeomorphism-invariant observables and their nonlocal algebra
journal, January 2016


On the interpretation of measurement in quantum theory
journal, January 1970


Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
journal, September 1981


Entanglement robustness and geometry in systems of identical particles
journal, April 2012


Towards space from Hilbert space: finding lattice structure in finite-dimensional quantum systems
journal, December 2018

  • Pollack, Jason; Singh, Ashmeet
  • Quantum Studies: Mathematics and Foundations, Vol. 6, Issue 2
  • DOI: 10.1007/s40509-018-0176-8

Entanglement entropy and superselection sectors. Part I. Global symmetries
journal, February 2020

  • Casini, Horacio; Huerta, Marina; Magán, Javier M.
  • Journal of High Energy Physics, Vol. 2020, Issue 2
  • DOI: 10.1007/JHEP02(2020)014

Bayesian second law of thermodynamics
journal, August 2016


The stretched horizon and black hole complementarity
journal, October 1993


Stabilizer Formalism for Operator Quantum Error Correction
journal, December 2005


Entanglement Wedge Reconstruction via Universal Recovery Channels
journal, July 2019


Branches of the black hole wave function need not contain firewalls
journal, June 2018


The Ryu–Takayanagi Formula from Quantum Error Correction
journal, May 2017


Entanglement Entropy of Electromagnetic Edge Modes
journal, March 2015


Stabilizing quantum information
journal, December 2000


Universal upper bound on the entropy-to-energy ratio for bounded systems
journal, January 1981


Classical World Arising out of Quantum Physics under the Restriction of Coarse-Grained Measurements
journal, November 2007


Relative entropy of states of von Neumann algebras
journal, January 1975

  • Araki, Huzihiro
  • Publications of the Research Institute for Mathematical Sciences, Vol. 11, Issue 3
  • DOI: 10.2977/prims/1195191148

Entropy and area
journal, August 1993


Self-induced decoherence: a new approach
journal, March 2004

  • Castagnino, Mario; Lombardi, Olimpia
  • Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, Vol. 35, Issue 1
  • DOI: 10.1016/j.shpsb.2003.03.001

Entanglement entropy and duality
journal, November 2016


Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction
journal, January 2009


Entanglement entropy and nonabelian gauge symmetry
journal, October 2014


A Subsystem-Independent Generalization of Entanglement
journal, March 2004


De Sitter Space Without Dynamical Quantum Fluctuations
journal, March 2016

  • Boddy, Kimberly K.; Carroll, Sean M.; Pollack, Jason
  • Foundations of Physics, Vol. 46, Issue 6
  • DOI: 10.1007/s10701-016-9996-8

Numerical method for finding decoherence-free subspaces and its applications
journal, January 2013


Quantum coarse graining, symmetries, and reducibility of dynamics
journal, May 2018


Decoherence, the measurement problem, and interpretations of quantum mechanics
journal, February 2005


Quantum information measures for restricted sets of observables
journal, August 2018


Constraining quantum fields using modular theory
journal, January 2019