Bound on quantum computation time: Quantum error correction in a critical environment
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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. © 2010 The American Physical Society.
Published Version (Please cite this version)10.1103/PhysRevA.82.020303
Publication InfoBaranger, Harold U; Mucciolo, ER; & Novais, E (2010). Bound on quantum computation time: Quantum error correction in a critical environment. Physical Review A - Atomic, Molecular, and Optical Physics, 82(2). pp. 20303. 10.1103/PhysRevA.82.020303. Retrieved from https://hdl.handle.net/10161/3348.
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Professor of Physics
The broad focus of Prof. Baranger's group is quantum open systems at the nanoscale, particularly the generation of correlation between particles in such systems. Fundamental interest in nanophysics-- the physics of small, nanometer scale, bits of solid-- stems from the ability to control and probe systems on length scales larger than atoms but small enough that the averaging inherent in bulk properties has not yet occurred. Using this ability, entirely unanticipated phenomena ca