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We show that any quantum information theory based on anticommuting operators must be supplemented by a superselection rule deeply rooted in relativity to establish a reasonable notion of entanglement. While quantum information may be…

Quantum Physics · Physics 2016-03-09 Nicolai Friis

Recently, there has been increased interest in understanding entanglement and quantum communication in black hole spacetimes and in using quantum information techniques to address questions in gravity. Studies on relativistic entanglement…

Quantum Physics · Physics 2011-06-02 E. Martin-Martinez

In this work we revisit the famous Fermi two-atom problem, which concerns how relativistic causality impacts atomic transition probabilities, using the tools from relativistic quantum information (RQI) and algebraic quantum field theory…

Quantum Physics · Physics 2022-08-17 Erickson Tjoa

We address the task of compression of fermionic quantum information. Due to the parity superselection rule, differently from the case of encoding of quantum information in qubit states, part of the information carried by fermionic systems…

Quantum Physics · Physics 2025-03-31 Paolo Perinotti , Alessandro Tosini , Leonardo Vaglini

We show that, contrarily to the claims in [K. Bradler, (2011), arXiv:1108.5553] (and arXiv:1201.1045), the reference [Phys. Rev. A 83, 062323 (2011)] is devoid of flaws or mistakes. We show that the criticism comes from a misunderstanding…

Quantum Physics · Physics 2012-01-23 M. Montero , E. Martin-Martinez

I discuss the role that relativistic considerations play in quantum information processing. First I describe how the causality requirements limit possible multi-partite measurements. Then the Lorentz transformations of quantum states are…

Quantum Physics · Physics 2007-05-23 Daniel R. Terno

This thesis is a compilation of research in relativistic quantum information theory, and research in quantum reference frames. The research in the former category provides a fundamental construction of quantum information theory of…

Quantum Physics · Physics 2013-12-18 Matthew C Palmer

Information theory is a statistical theory dealing with the relative state of detectors and physical systems. Because of this physicality of information, the classical framework of Shannon needs to be extended to deal with quantum…

Quantum Physics · Physics 2011-12-09 Christoph Adami

Quantum theory is a tremendously successful physical theory, but nevertheless suffers from two serious problems: the measurement problem and the problem of interpretational underdetermination. The latter, however, is largely overlooked as a…

Quantum Physics · Physics 2015-05-18 Holger Lyre

In [N. Friis, New J. Phys. 18, 033014 (2016)] the non-relativistic description of fermions is considered and in particular the role of the parity superselection rule in relation to the characterization of entanglement. An argument based on…

Quantum Physics · Physics 2016-10-04 Markus Johansson

Relativistic effects affect nearly all notions of quantum information theory. The vacuum behaves as a noisy channel, even if the detectors are perfect. The standard definition of a reduced density matrix fails for photon polarization…

Quantum Physics · Physics 2007-05-23 Asher Peres , Daniel R. Terno

Recently the theory of communication developed by Shannon has been extended to the quantum realm by exploiting the rules of quantum theory. This latter stems on complex vector spaces. However complex (as well as real) numbers are just…

Information Theory · Computer Science 2018-04-23 Samad Khabbazi Oskouei , Stefano Mancini

Capacities of quantum channels are fundamental quantities in the theory of quantum information. A desirable property is the additivity for a capacity. However, this cannot be achieved for a few quantities that have been established as…

Quantum Physics · Physics 2025-05-20 D. -S. Wang

The purpose of this review article is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review,…

Quantum Physics · Physics 2019-02-27 Benoit Collins , Ion Nechita

In this comment we show that the ambiguity of entropic quantities calculated in Physical Review A 83, 062323 (2011) for fermionic fields in the context of Unruh effect is not related to the properties of anticommuting fields, as claimed in…

Quantum Physics · Physics 2014-08-20 Kamil Bradler , Rocio Jauregui

Modern quantum information theory deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

Quantum Physics · Physics 2007-05-23 Igor V. Volovich

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

Quantum Physics · Physics 2007-05-23 Rolando D. Somma

The purpose of this overview article, which can be viewed as a supplement to our previous review on quantum rings, [S. Viefers {\it et al}, Physica E {\bf 21} (2004), 1-35], is to highlight the differences of boson and fermion systems in…

Mesoscale and Nanoscale Physics · Physics 2012-10-03 M. Manninen , S. Viefers , S. M. Reimann

In recent years an increasing number of papers attempt to mimic or supplant quantum field theory in discussions of issues related to gravity by the tools and through the perspective of quantum information theory, often in the context of…

Quantum Physics · Physics 2022-04-13 Charis Anastopoulos , Bei-Lok Hu

Recent tremendous development of quantum information theory led to a number of quantum technological projects, e.g., quantum random generators. This development stimulates a new wave of interest in quantum foundations. One of the most…

Quantum Physics · Physics 2018-08-07 Andrei Khrennikov
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