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20182026
most citedDistance between Bound Entangled States from Unextendible Product Bases and Separable States

17 citations · 17 across the 2 of their papers we have counts for

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quant-ph2026

Classifying the simplest Bell inequalities beyond qubits and their applications towards self-testing

Palash Pandya, Shubhayan Sarkar, Remigiusz Augusiak

Bell inequalities reveal the fundamentally nonlocal character of quantum mechanics. In this regard, one of the interesting problems is to explore all possible Bell inequalities tha…

quant-ph2023

Minimum Hilbert-Schmidt distance for Schmidt rank 2 states

Palash Pandya

The Hilbert-Schmidt distance between two states is proven to be non-contractive under CPTP maps, and therefore is not considered as an entanglement measure. However, that alone doe…

quant-ph202017 cited

Distance between Bound Entangled States from Unextendible Product Bases and Separable States

Marcin Wieśniak, Palash Pandya, Omer Sakarya +1

We discuss the use of the Gilbert algorithm to tailor entanglement witnesses for unextendibleproduct basis bound entangled states (UPB BE states). The method relies on the fact tha…

quant-ph2018

Hilbert-Schmidt distance and entanglement witnessing

Palash Pandya, Omer Sakarya, Marcin Wieśniak

Gilbert proposed an algorithm for bounding the distance between a given point and a convex set. In this article we apply the Gilbert's algorithm to get an upper bound on the Hilber…

quant-ph2018

Subadditivity of logarithm of violation of geometric Bell inequalities for qudits

Marcin Wieśniak, Palash Pandya

Geometrical Bell Inequalities (GBIs) are the strongest known Bell inequalities for collections of qubits. However, their generalizations to other systems is not yet fully understoo…