Abbreviated Journal Title
Phys. Rev. A
Keywords
CODES; DECOHERENCE; SYSTEM; Optics; Physics, Atomic, Molecular & Chemical
Abstract
We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the logical qubits and show that it has the same form as that for the physical qubits but with a reduced coupling strength to the environment. Using this evolution operator, we find the trace distance between the real and ideal states of the logical qubits in two cases. For a super-Ohmic bath, the trace distance saturates, while for Ohmic or sub-Ohmic baths, there is a finite time before the trace distance exceeds a value set by the user.
Journal Title
Physical Review A
Volume
82
Issue/Number
2
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
4
WOS Identifier
ISSN
1050-2947
Recommended Citation
Novais, E.; Mucciolo, Eduardo R.; and Baranger, Harold U., "Bound on quantum computation time: Quantum error correction in a critical environment" (2010). Faculty Bibliography 2010s. 599.
https://stars.library.ucf.edu/facultybib2010/599
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu