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20092023
most citedEntangling power and local invariants of two-qubit gates

48 citations · 87 across the 7 of their papers we have counts for

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quant-ph2023★ 2 cited

Characteristics, Implementation and Applications of Special Perfect Entangler Circuits

M. Karthick Selvan, S. Balakrishnan

We discuss the characteristics of special perfect entanglers and construct single parameter two-qubit circuits which are locally equivalent to special perfect entanglers. We presen…

quant-ph2022★ 3 cited

Characterizing nonbilocal correlation: A geometric perspective

R. Muthuganesan, S. Balakrishnan, V. K. Chandrasekar

Exploiting the notion of measurement-induced nonlocality [Phys.Rev. Lett. 106, 120401 (2011)], we introduce a new measure to quantify the nonbilocal correlation. We establish a sim…

quant-ph2011★ 15 cited

Measures of operator entanglement of two-qubit gates

S. Balakrishnan, R. Sankaranarayanan

Two different measures of operator entanglement of two-qubit gates, namely, Schmidt strength and linear entropy, are studied. While these measures are shown to have one-to-one rela…

quant-ph2010

Operator-Schmidt decomposition and the geometrical edges of two-qubit gates

S. Balakrishnan, R. Sankaranarayanan

Nonlocal two-qubit quantum gates are represented by canonical decomposition or equivalently by operator-Schmidt decomposition. The former decomposition results in geometrical repre…

quant-ph2010★ 48 cited

Entangling power and local invariants of two-qubit gates

S Balakrishnan, R Sankaranarayanan

We show a simple relation connecting entangling power and local invariants of two-qubit gates. From the relation, a general condition under which gates have same entangling power i…

quant-ph2009

Classification of nonlocal two-qubit gates using Schmidt number

S Balakrishnan, Leona J Felicia, R Sankaranarayanan

It is known from Schmidt decomposition that Schmidt number of nonlocal two-qubit quantum gates is 2 or 4. We identify conditions on geometrical points of a gate to have Schmidt num…

quant-ph2009★ 19 cited

Characterizing the geometrical edges of nonlocal two-qubit gates

S. Balakrishnan, R. Sankaranarayanan

Nonlocal two-qubit gates are geometrically represented by tetrahedron known as Weyl chamber within which perfect entanglers form a polyhedron. We identify that all edges of the Wey…