80 citations · 286 across the 11 of their papers we have counts for
12 papers
Simple derivation of the Weyl and Dirac quantum cellular automata
Philippe Raynal
We consider quantum cellular automata on a body-centred cubic lattice and provide a simple derivation of the only two homogenous, local, isotropic, and unitary two-dimensional auto…
Optimality of entropic uncertainty relations
Kais Abdelkhalek, René Schwonnek, Hans Maassen +5
The entropic uncertainty relation proven by Maassen and Uffink for arbitrary pairs of two observables is known to be non-optimal. Here, we call an uncertainty relation optimal, if…
Mutually unbiased bases for the rotor degree of freedom
Xin Lü, Philippe Raynal, Berthold-Georg Englert
We consider the existence of a continuous set of mutually unbiased bases for the continuous and periodic degree of freedom that describes motion on a circle (rotor degree of freedo…
Mutually unbiased bases in dimension six: The four most distant bases
Philippe Raynal, Xin Lü, Berthold-Georg Englert
We consider the average distance between four bases in dimension six. The distance between two orthonormal bases vanishes when the bases are the same, and the distance reaches its…
Encoding many qubits in a rotor
Amir Kalev, Philippe Raynal, Jun Suzuki +1
We propose a scheme for encoding many qubits in a single rotor, that is, a continuous and periodic degree of freedom. A key feature of this scheme is its ability to manipulate and…
Optimal Lewenstein-Sanpera decomposition of two-qubit states using Semidefinite Programming
Guo Chuan Thiang, Philippe Raynal, Berthold-Georg Englert
We use the language of semidefinite programming and duality to derive necessary and sufficient conditions for the optimal Lewenstein-Sanpera Decomposition (LSD) of 2-qubit states.…