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On Estimating the State of a Finite Level Quantum System
K. R. Parthasarathy
We revisit the problem of mutually unbiased measurements in the context of estimating the unknown state of a -level quantum system, first studied by W. K. Wootters and B. D. fie…
On the maximal dimension of a completely entangled subspace for finite level quantum systems
K. R. Parthasarathy
Let be a finite dimensional complex Hilbert space of dimension associated with a finite level quantum system for . A subspace $S \su…
Extremal Quantum States in Coupled Systems
K. R. Parthasarathy
Let be finite dimensional complex Hilbert spaces describing the states of two finite level quantum systems. Suppose is a state in ${\cal H}_i, i=1,…
Nonstabilizer Quantum Codes from Abelian Subgroups of the Error Group
V. Arvind, Piyush P Kurur, K. R. Parthasarathy
This paper is motivated by the computer-generated nonadditive ((5,6,2)) code described in an article by Rains, Hardin, Shor and Sloane. We describe a theory of non-stabilizer codes…
A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field
V. Arvind, K. R. Parthasarathy
Using the Weyl commutation relations over a finite field we introduce a family of error-correcting quantum stabilizer codes based on a class of symmetric matrices over the finite f…
An Entropic Uncertainty Principle for Quantum Measurements
M Krishna, K R Parthasarathy
The entropic uncertainty principle as outlined by Maassen and Uffink for a pair of non-degenerate observables in a finite level qusystem is generalized here to the case of a pair o…