most citedOptimizing positive maps in the matrix algebra

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quant-ph2024

A class of Schwarz qubit maps with diagonal unitary and orthogonal symmetries

Dariusz Chruściński, Bihalan Bhattacharya

A class of unital qubit maps displaying diagonal unitary and orthogonal symmetries is analyzed. Such maps already found a lot applications in quantum information theory. We provide…

quant-ph2024

Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations

Federico Settimo, Kimmo Luoma, Dariusz Chruściński +3

The dynamics of open quantum systems is often solved by stochastic unravellings where the average over the state vector realizations reproduces the density matrix evolution. We foc…

quant-ph2024

Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics

Davide Lonigro, Fattah Sakuldee, Łukasz Cywiński +2

The multitime probability distributions obtained by repeatedly probing a quantum system via the measurement of an observable generally violate Kolmogorov's consistency property. Th…

quant-ph2024

Universal constraint for relaxation rates of semigroups of qubit Schwarz maps

Dariusz Chruściński, Gen Kimura, Farrukh Mukhamedov

Unital qubit Schwarz maps interpolate between positive and completely positive maps. It is shown that relaxation rates of qubit semigroups of unital maps enjoying Schwarz property…

quant-ph2023

Optimality of generalized Choi maps in

Giovanni Scala, Anindita Bera, Gniewomir Sarbicki +1

A family of linear positive maps in the algebra of complex matrices proposed recently in Bera et al. arXiv:2212.03807 is further analyzed. It provides a generalization…

quant-ph20231 cited

Optimizing positive maps in the matrix algebra

Anindita Bera, Gniewomir Sarbicki, Dariusz Chruściński

We present an optimization procedure for a seminal class of positive maps in the algebra of complex matrices introduced and studied by Tanahasi and Tomiyama,…