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Entropy of a quantum error correction code
David W. Kribs, Aron Pasieka, Karol Zyczkowski
We define and investigate a notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as…
Sub-- and super--fidelity as bounds for quantum fidelity
J. A. Miszczak, Z. Puchała, P. Horodecki +2
We derive several bounds on fidelity between quantum states. In particular we show that fidelity is bounded from above by a simple to compute quantity we call super--fidelity. It i…
Random Quantum Operations
Wojciech Bruzda, Valerio Cappellini, Hans-Jürgen Sommers +1
We define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Phi a…
Quartic quantum theory: an extension of the standard quantum mechanics
Karol Zyczkowski
We propose an extended quantum theory, in which the number K of parameters necessary to characterize a quantum state behaves as fourth power of the number N of distinguishable stat…