activity
19982005
most citedAn application of a matrix inequality in quantum information theory

11 citations · 17 across the 7 of their papers we have counts for

collaborators

9 papers

quant-ph20051 cited

Reliably distinguishing states in qutrit channels using one-way LOCC

Christopher King, Daniel Matysiak

We present numerical evidence showing that any three-dimensional subspace of C^3 \otimes C^n has an orthonormal basis which can be reliably distinguished using one-way LOCC, where…

quant-ph200411 cited

An application of a matrix inequality in quantum information theory

C. King

Quantum information theory has generated several interesting conjectures involving products of completely positive maps on matrix algebras, also known as quantum channels. In parti…

math.OC20041 cited

On the existence of a common quadratic Lyapunov function for a rank one difference

Christopher King, Michael Nathanson

Suppose that A and B are real stable matrices, and that their difference A-B is rank one. Then A and B have a common quadratic Lyapunov function if and only if the product AB has n…

math.CA2003

New trace norm inequalities for 2 x 2 blocks of diagonal matrices

Christopher King, Michael Nathanson

Several new trace norm inequalities are established for 2n x 2n block matrices, in the special case where the four n x n blocks are diagonal. Some of the inequalities are non-commu…

quant-ph2003

Inequality for p-norms of positive matrices

C. King

This paper derives an inequality relating the p-norm of a positive 2 x 2 block matrix to the p-norm of the 2 x 2 matrix obtained by replacing each block by its p-norm. The inequali…

quant-ph20021 cited

Maximal p-norms of entanglement breaking channels

C. King

It shown that when one of the components of a product channel is entanglement breaking, the output state with maximal p-norm is always a product state. This result complements Shor…