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Quantum Channels with Quantum Group Symmetry [PDF]
Communications in Mathematical Physics, 2022 In this paper we will demonstrate that any compact quantum group can be used as symmetry groups for quantum channels, which leads us to the concept of covariant channels. We, then, unearth the structure of the convex set of covariant channels by identifying all extreme points under the assumption of multiplicity-free condition for the associated fusion
Hun Hee Lee, Sang-Gyun Youn
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Quantum Optimal Transport with Quantum Channels [PDF]
Annales Henri Poincaré, 2021 We propose a new generalization to quantum states of the Wasserstein distance, which is a fundamental distance between probability distributions given by the minimization of a transport cost. Our proposal is the first where the transport plans between quantum states are in natural correspondence with quantum channels, such that the transport can be ...
De Palma, G, Trevisan, D
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Order-Stability in Complex Biological, Social, and AI-Systems from Quantum Information Theory
Entropy, 2021 This paper is our attempt, on the basis of physical theory, to bring more clarification on the question “What is life?” formulated in the well-known book of Schrödinger in 1944.
Andrei Khrennikov, Noboru Watanabe
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Quantum channels in quantum gravity [PDF]
International Journal of Modern Physics D, 2014 The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger ...
Rangamani, Mukund, Rota, Massimilliano
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Quantum Broadcast Channels [PDF]
IEEE Transactions on Information Theory, 2011 15 pages; IEEE Trans. Inform. Theory, vol. 57, no.
Yard, Jon +2 more
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Atmospheric implementation of superdense coding quantum algorithm
Physics of Complex Systems, 2022 We consider the properties of a quantum communication channel in open space using the superdense coding algorithm as an example. We studied the theoretical model of the installation that implements this algorithm, and identified the main factors ...
Богдан Александрович Тимченко +4 more
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Computing Quantum Channel Capacities [PDF]
IEEE Transactions on Information Theory, 2021 v4: 22 pages, 4 figures, new ...
Navneeth Ramakrishnan +3 more
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Selfcomplementary Quantum Channels [PDF]
Open Systems & Information Dynamics, 2016 Selfcomplementary quantum channels are characterized by such an interaction between the principal quantum system and the environment that leads to the same output states of both interacting systems. These maps can describe approximate quantum copy machines, as perfect copying of an unknown quantum state is not possible due to the celebrated no-cloning
Smaczynski, Marek +2 more
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Quantum circuits for quantum channels [PDF]
Physical Review A, 2017 We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three different models. In the first, the Quantum Circuit Model (QCM), we consider sequences of single-qubit and C-NOT gates ...
Iten, Raban +2 more
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Quantumness of quantum channels [PDF]
Physical Review A, 2018 Quantum coherence is a fundamental aspect of quantum physics and plays a central role in quantum information science. This essential property of the quantum states could be fragile under the influence of the quantum operations. The extent to which quantum coherence is diminished depends both on the channel and the incoherent basis.
Shahbeigi, Fereshte +1 more
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