Complementarity in quantum systems

DOI10.1016/S0034-4877(07)00010-9zbMath1143.81302arXivquant-ph/0610189WikidataQ106420727 ScholiaQ106420727MaRDI QIDQ2480674

Dénes Petz

Publication date: 3 April 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0610189

zbMATH Keywords

entropic uncertainty relationcomplementarityCartan decompositionCAR algebraBell statescommuting squaresmutually unbiased basis

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (18)

Quasi-orthogonal subalgebras of \(4 \times 4\) matrices ⋮ Selfcomplementary Quantum Channels ⋮ An uncertainty principle for unimodular quantum groups ⋮ Complementarity in categorical quantum mechanics ⋮ Complementarity and state estimation ⋮ Complementarity in atomic and oscillator systems ⋮ Efficient quantum tomography needs complementary and symmetric measurements ⋮ The correspondence between mutually unbiased bases and mutually orthogonal extraordinary supersquares ⋮ Quasi-orthogonal subalgebras of matrix algebras ⋮ Algebraic complementarity in quantum theory ⋮ On orthogonal systems of matrix algebras ⋮ COMPLEMENTARITY IN GENERIC OPEN QUANTUM SYSTEMS ⋮ Approximate quasi-orthogonality of operator algebras and relative quantum privacy ⋮ Discrete phase-space structure of \(n\)-qubit mutually unbiased bases ⋮ COMPLEMENTARITY AND THE ALGEBRAIC STRUCTURE OF FOUR-LEVEL QUANTUM SYSTEMS ⋮ A gap for the maximum number of mutually unbiased bases ⋮ Generalizations of Pauli channels ⋮ VON NEUMANN ENTROPY AND RELATIVE POSITION BETWEEN SUBALGEBRAS

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