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With CPT-invariant initial conditions that commute with CPT-invariant final conditions, the respective probabilities (when defined) of a set of histories and its CPT reverse are equal, giving a CPT-symmetric universe. This leads me to…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Don N. Page

Resource theories can be used to formalize the quantification and manipulation of resources in quantum information processing such as entanglement, asymmetry and coherence of quantum states, and incompatibility of quantum measurements.…

Quantum Physics · Physics 2019-04-05 Roope Uola , Tristan Kraft , Jiangwei Shang , Xiao-Dong Yu , Otfried Gühne

Recent studies have introduced the worst-case quantum divergence as a key measure in quantum information. Here we show that such divergences can be understood from the perspective of the resource theory of asymmetric distinguishability,…

Quantum Physics · Physics 2025-10-06 Siqi Yao , Kun Fang

Quantum resource theory is perhaps the most revolutionary framework that quantum physics has ever experienced. It plays vigorous roles in unifying the quantification methods of a requisite quantum effect as wells as in identifying protocols…

Quantum Physics · Physics 2021-10-27 Sanjib Dey

The motivations for the construction of an 8-component representation of fermion fields based on a two dimensional representation of time reversal transformation and CPT invariance are discussed. Some of the elementary properties of the…

High Energy Physics - Theory · Physics 2007-05-23 S. Ying

Spacetime inversion symmetries such as parity and time reversal play a central role in physics, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries, so any spacetime inversion symmetries must…

High Energy Physics - Theory · Physics 2025-04-25 Daniel Harlow , Tokiro Numasawa

A central question in resource theory is whether one can construct a set of monotones that completely characterise the allowed transitions dictated by a set of free operations. A similar question is whether two distinct sets of free…

Quantum Physics · Physics 2025-07-09 Matteo Scandi , Jacopo Surace

In quantum resource theories (QRTs), there exists evidences of intrinsic connections among different measures of quantum resources, including entanglement, coherence, quantum steering, and so on. However, building the relations among…

Quantum Physics · Physics 2022-10-18 Dong-Dong Dong , Geng-Biao Wei , Xue-Ke Song , Dong Wang , Liu Ye

Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is to determine whether there exists a quantum channel converting one pair to the other. In this work, we reframe this…

Quantum Physics · Physics 2020-09-30 Soorya Rethinasamy , Mark M. Wilde

We introduce and study a generalization of majorization called relative submajorization and show that it has many applications to the resource theories of thermodynamics, bipartite entanglement, and quantum coherence. In particular, we show…

Quantum Physics · Physics 2016-12-28 Joseph M. Renes

We generalize the recently proposed resource theory of coherence (or superposition) [Baumgratz, Cramer & Plenio, Phys. Rev. Lett. 113:140401; Winter & Yang, Phys. Rev. Lett. 116:120404] to the setting where not only the free ("incoherent")…

Quantum Physics · Physics 2017-11-21 Khaled Ben Dana , María García Díaz , Mohamed Mejatty , Andreas Winter

Symmetry under time-reversal appears in the microscopic description of many physical systems. In a quantum mechanical setting it acts as an anti-unitary operator, so does not fall under general analyses based on unitary symmetries. In…

Strongly Correlated Electrons · Physics 2026-03-31 Lea E. Bottini , Nick G. Jones

The cluster perturbation theory (CPT) is one of the simplest but systematic quantum cluster approaches to lattice models of strongly correlated electrons with local interactions. By treating the inter-cluster potential, in addition to the…

Strongly Correlated Electrons · Physics 2011-05-27 Matthias Balzer , Michael Potthoff

We discuss the role of the CPT transformation in first quantized string theories, both on the world-sheet and in the space-time. We explicitly show that the space-time CPT theorem holds for all first-quantized (perturbative) string theories…

High Energy Physics - Theory · Physics 2016-12-21 A. Pasquinucci , K. Roland

The resource theory of quantum thermodynamics has been a very successful theory and has generated much follow-up work in the community. It requires energy-preserving unitary operations to be implemented over a system, bath, and catalyst as…

Quantum Physics · Physics 2023-03-13 Mischa P. Woods , Michał Horodecki

One of the few exact results for the description of the time-evolution of an inhomogeneous, interacting many-particle system is given by the Harmonic Potential Theorem (HPT). The relevance of this theorem is that it sets a tight constraint…

Nuclear Theory · Physics 2019-09-18 S. Zanoli , X. Roca-Maza , G. Colò , S. Shen

The symmetry of quantum theory under time reversal has long been a subject of controversy because the transition probabilities given by Born's rule do not apply backward in time. Here, we resolve this problem within a rigorous operational…

Quantum Physics · Physics 2016-08-01 Ognyan Oreshkov , Nicolas J. Cerf

We revise the problem of the quantization of relativistic particle models (spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new realization of…

High Energy Physics - Theory · Physics 2016-12-28 S. P. Gavrilov , D. M. Gitman

A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two $CPT$ groups are introduced, the first group from…

Mathematical Physics · Physics 2009-11-11 V. V. Varlamov

CPT theorem has been known to imply the equality of mass and lifetime between particle and antiparticle even if C(charge conjugation) symmetry is violated. However, its mathematical verification is insufficient and limited as it considers…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. Yoon