| Detrimental Decoherence (2007) | |||||||||||||||
Abstract | |||||||||||||||
| We propose and discuss two conjectures on the nature of informa-tion leaks (decoherence) for quantum computers. These conjectures, if (or when) they hold, are damaging for quantum error-correction as required by fault-tolerant quantum computation. The first conjecture asserts that information leaks for a pair of substantially entangled qubits are themselves substantially positively correlated. The second conjecture asserts that in a noisy quantum computer with highly entangled qubits there will be a strong effect of error synchronization. We present a more general conjecture for arbitrary noisy quantum systems: prescribing (or describing) noisy quantum systems at a state ρ is subject to error E which “tends to commute ” with every unitary operator that stabilizes ρ. | |||||||||||||||
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