Difficulties for the evolution of pure states into mixed states
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Cites
The unpredictability of quantum gravity
Hawking, S. W. (1982) · Communications in Mathematical Physics · doi:10.1007/bf01206031 · Cited by 560 · see citing works
Is Black-Hole Evaporation Predictable?
Page, D. N. (1980) · Physical Review Letters · doi:10.1103/physrevlett.44.301 · Cited by 199 · see citing works
Can time be a discrete dynamical variable?
Lee, T. D. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)90687-1 · Cited by 191 · see citing works
Hawking, S. W., Page, D. N., & Pope, C. N. (1980) · Nuclear Physics B · doi:10.1016/0550-3213(80)90151-0 · Cited by 121 · see citing works
Is quantum gravity unpredictable?
Gross, D. J. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90540-6 · Cited by 63 · see citing works
Friedberg, R. M., & Lee, T. D. (1983) · Nuclear Physics B · doi:10.1016/0550-3213(83)90011-1 · Cited by 56 · see citing works
Álvarez-Gaumé, L., & Gómez, C. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01211830 · Cited by 14 · see citing works
Flagged first, then by citations
Research works printed but not linked: 6
- S.W. Hawking, Comm. Math. Phys. 87, 395 (1983) -
- L. Alvarez-Gaume and C. Gomez, Comm. Math. Phys. 89, 235 (1983)
- D. N. Page, Phys. Rev. Lett. 44,301 (1980)
- D. J. Gross, Princeton preprint PRINT-83-0683, Aug. 1983
- R. Friedberg and T. D. Lee, Columbia preprint CU-TP-254, Jan. 1983;
- T. D. Lee, Phys. Lett. 122, 217 (1983)
Cited by
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Black holes as mirrors: quantum information in random subsystems
Hayden, P., & Preskill, J. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/09/120 · Cited by 1,332 · see citing works
Unruh, W. G., & Wald, R. M. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa778e · Cited by 259 · see citing works
The unitarity puzzle and Planck mass stable particles
Aharonov, Y., Casher, A., & Nussinov, S. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)91320-7 · Cited by 184 · see citing works
Very long time scales and black hole thermal equilibrium
Barbón, J. L. F., & Rabinovici, E. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/11/047 · Cited by 113 · see citing works
Black hole remnants and the information puzzle
Banks, T., O'Loughlin, M., & Strominger, A. (1993) · Physical Review D · doi:10.1103/physrevd.47.4476 · Cited by 96 · see citing works
Self-citationOn long time unitarity restoring processes in the presence of eternal black holes
Barbón, J. L. F., & Rabinovici, E. (2004) · Fortschritte der Physik · doi:10.1002/prop.200410157 · Cited by 49 · see citing works
Preskill, J. (1991) · Physica Scripta · doi:10.1088/0031-8949/1991/t36/028 · Cited by 29 · see citing works
- Authors
- Banks, T., Susskind, L., & Peskin, M. E.
- Affiliations
- Stanford University (US)
- SLAC National Accelerator Laboratory (US)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1984-09
- Volume
- 244
- Issue
- 1
- Pages
- 125-134
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1977710915
- Cited by
- 308
- References
- 7
- Citations by year
- 2026: 4 · 2025: 9 · 2024: 13 · 2023: 15 · 2022: 10 · 2021: 13 · 2020: 31 · 2019: 9 · 2018: 13 · 2017: 10 · 2016: 10 · 2015: 11 · 2014: 13 · 2013: 7 · 2012: 8
- FWCI
- 1.05
- Type
- journal article
- Language
- en
- Open access
- green
- www.osti.gov
- Locations
- Nuclear Physics B (publishedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Rutgers University Community Repository (Rutgers University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- density matrix, pure states, mixed states, locality, energy-momentum conservation
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