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19962026
most citedSeparability of Mixed States: Necessary and Sufficient Conditions

3.6k citations

Showing 1998 · quant-phShow all

9 papers · 2 filters

quant-ph1998★ 4 cited

Quantum cryptography with polarizing interferometers

Marek Czachor

Cryptographic scheme proposed by Bennett, Brassard, and Mermin [Phys. Rev. Lett. {\bf 68}, 557 (1992)] is reformulated in a version involving two polarizing Mach-Zehnder interferom…

quant-ph1998★ 16 cited

Einstein-Podolsky-Rosen paradox without entanglement

Ryszard Horodecki, Michal Horodecki, Pawel Horodecki

We claim that the nonlocality without entanglement revealed quite recently by Bennett {\it et al.} [quant-ph/9804053] should be rather interpreted as {\it Einstein-Podolsky-Rosen p…

quant-ph1998★ 17 cited

Nonlinear von Neumann-type equations: Darboux invariance and spectra

Maciej Kuna, Marek Czachor, Sergiej B. Leble

Generalized Euler-Arnold-von Neumann density matrix equations can be solved by a binary Darboux transformation given here in a new form: where $…

quant-ph1998★ 21 cited

Microscopic Foundation of Nonextensive Statistics

Marek Czachor, Jan Naudts

Combination of the Liouville equation with the q-averaged energy leads to a microscopic framework for nonextensive q-thermodynamics. The resulting von Neumann equatio…

quant-ph1998★ 402 cited

Bound entanglement can be activated

Pawel Horodecki, Michal Horodecki, Ryszard Horodecki

Bound entanglement is the noisy entanglement which cannot be distilled to a singlet form. Thus it cannot be used alone for quantum communication purposes. Here we show that, nevert…

quant-ph1998★ 1 cited

Entanglement and pseudomixtures

Maciej Kuna

In a recent paper Sanpera et al. have shown, that for the simplest binary composite systems any density matrix can be described in terms of only product vectors. The purpose of thi…

quant-ph1998★ 96 cited

Universal Quantum Information Compression

Richard Jozsa, Michal Horodecki, Pawel Horodecki +1

Suppose that a quantum source is known to have von Neumann entropy less than or equal to S but is otherwise completely unspecified. We describe a method of universal quantum data c…

quant-ph1998★ 39 cited

Darboux-integrable nonlinear Liouville-von Neumann equation

Sergei B. Leble, Marek Czachor

A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit exam…

quant-ph1998★ 1.2k cited

Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies tha…