Quantum Computational Complexity in the Presence of Closed Timelike Curves

Simple item page
dc.creatorBacon, Dave
dc.date2003-09-25
dc.date2003-10-28
dc.date.accessioned2026-07-07T11:44:34Z
dc.date.available2026-07-07T11:44:34Z
dc.descriptionQuantum computation with quantum data that can traverse closed timelike curves represents a new physical model of computation. We argue that a model of quantum computation in the presence of closed timelike curves can be formulated which represents a valid quantification of resources given the ability to construct compact regions of closed timelike curves. The notion of self-consistent evolution for quantum computers whose components follow closed timelike curves, as pointed out by Deutsch [Phys. Rev. D {\bf 44}, 3197 (1991)], implies that the evolution of the chronology respecting components which interact with the closed timelike curve components is nonlinear. We demonstrate that this nonlinearity can be used to efficiently solve computational problems which are generally thought to be intractable. In particular we demonstrate that a quantum computer which has access to closed timelike curve qubits can solve NP-complete problems with only a polynomial number of quantum gates.
dc.description8 pages, 2 figures. Minor changes and typos fixed. Reference added
dc.identifierhttps://arxiv.org/abs/quant-ph/0309189
dc.identifierhttp://arxiv.org/abs/quant-ph/0309189
dc.identifierPhys.Rev.A70:032309,2004
dc.identifierdoi:10.1103/PhysRevA.70.032309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201647
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum Computational Complexity in the Presence of Closed Timelike Curves
dc.typetext

Files

Collections

arXiv