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Error correction and symmetrization in quantum computers
Asher Peres
Errors in quantum computers are of two kinds: sudden perturbations to isolated qubits, and slow random drifts of all the qubits. The latter may be reduced, but not eliminated, by m…
Quantum codewords contradict local realism
David P. DiVincenzo, Asher Peres
Quantum codewords are highly entangled combinations of two-state systems. The standard assumptions of local realism lead to logical contradictions similar to those found by Bell, K…
Quantum nonlocality and inseparability
Asher Peres
A quantum system consisting of two subsystems is separable if its density matrix can be written as , where and are density matrices for…
Unitary dynamics for quantum codewords
Asher Peres
A quantum codeword is a redundant representation of a logical qubit by means of several physical qubits. It is constructed in such a way that if one of the physical qubits is pertu…
Quaternionic quantum interferometry
Asher Peres
If scattering amplitudes are ordinary complex numbers (not quaternions) there is a universal algebraic relationship between the six coherent cross sections of any three scatterers…
Error symmetrization in quantum computers
Asher Peres
It is possible to reduce some types of quantum computation errors by symmetrizing the quantum state of a redundant array. Various models are discussed.