0209071v3

related topics
{time, decoherence, evolution}
{qubit, qubits, gate}
{state, states, coherent}
{cavity, atom, atoms}
{temperature, thermal, energy}
{trap, ion, state}
{level, atom, field}
{state, phys, rev}
{field, particle, equation}
{entanglement, phys, rev}
{cos, sin, state}

Scaling of Decoherence Effects in Quantum Computers

B. J. Dalton

abstract: The scaling of decoherence rates with the number of q-bits is studied for a simple quantum computer model. Two state q-bits are localised around well-separated positions via trapping potentials, but vibrational motion of q-bits centre of mass motion occurs. Coherent one and two q-bit gating processes are controlled by external classical fields and facilitated by a high Q cavity mode. Decoherence due to q-bit and cavity mode coupling to a bath of spontaneous emission modes, cavity decay modes and to the vibrational modes is treated. A non-Markovian treatment of the short time behaviour of the fidelity is presented, enabling time scales for decoherence to be determined, together with their dependence on q-bit number for the case where the q-bit/cavity mode system is in a pure state and the baths are in thermal states.

oai_identifier:
oai:arXiv.org:quant-ph/0209071
categories:
quant-ph
comments:
18 pages, 1 figure, modified intro, added refs, corrected typos, further revisions to J Mod Opt galley proofs
arxiv_id:
quant-ph/0209071
created:
2002-09-10
updated:
2003-01-17

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