Quantum Information and Relativity Theory

By Asher Peres, Daniel R. Terno. 2002

608 citations recorded by the source corpus.

Quantum mechanics, information theory, and relativity theory are the basic foundations of theoretical physics. The acquisition of information from a quantum system is the interface of classical and quantum physics. Essential tools for its description are Kraus matrices and positive operator valued measures (POVMs). Special relativity imposes severe restrictions on the transfer of information between distant systems. Quantum entropy is not a Lorentz covariant concept. Lorentz transformations of reduced density matrices for entangled systems may not be completely positive maps. Quantum field theory, which is necessary for a consistent description of interactions, implies a fundamental trade-off between detector reliability and localizability. General relativity produces new, counterintuitive effects, in particular when black holes (or more generally, event horizons) are involved. Most of the current concepts in quantum information theory may then require a reassessment.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f39042dc5e6cb1ca1157c52d461cd61f1b88d93e

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Citations in the corpus

The Unruh effect and its applications (2007, background): “6 See, e.g., Bousso (2002); Peres and Terno (2004). in the vicinity of accelerated boundaries, and in hadronic processes.”
Colloquium: Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits (2011, background): “The resulting thermal environment is of fundamental importance to quantum information and entanglement in relativistic systems (Hartle, 1995; Alsing and Milburn, 2003; Peres and Terno, 2004; Fuentes-Schuller and Mann, 2005).”
Fundamental quantum optics experiments conceivable with satellites—reaching relativistic distances and velocities (2012, unknown): “An alternative labelling of the same state, therefore, is σ = ± 1 α σ | p, σ p [50, 43].”
The classical-quantum boundary for correlations: Discord and related measures (2011, methodology): “The effects of thermal noise on correlations are extended to relativistic systems via the Unruh effect (see (Peres and Terno, 2004; Takagi, 1986) and references therein).”