Physics – Quantum Physics
Scientific paper
2010-03-22
Phys. Rev. A 84, 062325 (2011)
Physics
Quantum Physics
Latex2e, No Figs, 4 + pages, An error corrected, Results unchanged
Scientific paper
10.1103/PhysRevA.84.062325
In ordinary quantum theory any mixed state can be purified in an enlarged Hilbert space by bringing an ancillary system. The purified state does not depend on the state of any extraneous system with which the mixed state is going to interact and on the physical interaction. Here, we prove that it is not possible to purify a mixed state that traverses a closed time like curve (CTC) and allowed to interact in a consistent way with a causality-respecting (CR) quantum system in the same manner. Thus, in general for arbitrary interactions between CR and CTC systems there is no universal 'Church of the larger Hilbert space' for mixed states with CTC. This shows that in quantum theory with CTCs there can exist 'proper' and 'improper' mixtures.
Agrawal Pankaj
Chakrabarty Indranil
Pati Arun K.
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