Showing 2006 · quant-phShow all

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quant-ph2006★ 11 cited

Maximally polarized states for quantum light fields

L. L. Sanchez-Soto, E. C. Yustas, G. Bjork +1

The degree of polarization of a quantum state can be defined as its Hilbert-Schmidt distance to the set of unpolarized states. We demonstrate that the states optimizing this degree…

quant-ph2006★ 203 cited

Topological Computation without Braiding

H. Bombin, M. A. Martin-Delgado

We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In par…

quant-ph2006★ 36 cited

Mutually unbiased bases and discrete Wigner functions

Gunnar Bjork, Jose L. Romero, Andrei B. Klimov +1

Mutually unbiased bases and discrete Wigner functions are closely, but not uniquely related. Such a connection becomes more interesting when the Hilbert space has a dimension that…

quant-ph2006★ 27 cited

Minimum uncertainty measurements of angle and angular momentum

Z. Hradil, J. Rehacek, Z. Bouchal +2

The uncertainty relations for angle and angular momentum are revisited. We use the exponential of the angle instead of the angle itself and adopt dispersion as a natural measure of…

quant-ph2006★ 91 cited

Homological Error Correction: Classical and Quantum Codes

H. Bombin, M. A. Martin-Delgado

We prove several theorems characterizing the existence of homological error correction codes both classically and quantumly. Not every classical code is homological, but we find a…

quant-ph2006★ 721 cited

Topological Quantum Distillation

H. Bombin, M. A. Martin-Delgado

We construct a class of topological quantum codes to perform quantum entanglement distillation. These codes implement the whole Clifford group of unitary operations in a fully topo…

quant-ph2006★ 32 cited

Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry

Artemio Gonzalez-Lopez, Toshiaki Tanaka

We recall the importance of recognizing the different mathematical nature of various concepts relating to PT-symmetric quantum theories. After clarifying the relation between super…

quant-ph2006★ 42 cited

Topological Quantum Error Correction with Optimal Encoding Rate

H. Bombin, M. A. Martin-Delgado

We prove the existence of topological quantum error correcting codes with encoding rates asymptotically approaching the maximum possible value. Explicit constructions of thes…