Chinese Journal of Quantum Electronics

Construction method of tight frame bsaed on joint quantum measurement

Lin Ni

Published Jan 1, 2011• 1 citation

Abstract

To construct a tight frame for a given vector,joint quantum measurement of teleportation was investigated,and a construction method of tight frame was proposed.The generalized construction method of tight frame is based on joint quantum measurement.Firstly,arrange the given vector into a coefficient matrix,then obtain its left unitary,right unitary and singular value matrix by singular value decomposition. Secondly,find a base including a column whose coefficient matrix is just the non-zero part of the singular value matrix.At the end,arrage the rest colomns of the base into non-zero part of the singular value matrix, then get the rest tight frame columns by singular value reconstruction.

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Construction methods of tight frame bsaed on quantum measurement

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