Phys. Rev. A 67, 052301 (2003) [19 pages]

Quantum dynamics as a physical resource

Abstract

References

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Michael A. Nielsen^1,*, Christopher M. Dawson¹, Jennifer L. Dodd^1,†, Alexei Gilchrist¹, Duncan Mortimer¹, Tobias J. Osborne¹, Michael J. Bremner¹, Aram W. Harrow², and Andrew Hines¹
¹Centre for Quantum Computer Technology and Department of Physics, The University of Queensland, Brisbane 4072, Australia
²MIT Physics, 77 Massachusetts Avenue, Cambridge Massachusetts 02139

Received 5 September 2002; published 7 May 2003

How useful is a quantum dynamical operation for quantum information processing? Motivated by this question, we investigate several strength measures quantifying the resources intrinsic to a quantum operation. We develop a general theory of such strength measures, based on axiomatic considerations independent of state-based resources. The power of this theory is demonstrated with applications to quantum communication complexity, quantum computational complexity, and entanglement generation by unitary operations.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.67.052301

DOI:

10.1103/PhysRevA.67.052301

PACS:

03.67.-a, 03.65.-w

^*Electronic address: nielsen@physics.uq.edu.au

^†Electronic address: jdodd@physics.uq.edu.au

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Phys. Rev. A 67, 052301 (2003) [19 pages]

Quantum dynamics as a physical resource