Statistical Constraints on State Preparation for a Quantum Computer

Abstract

Quantum computing algorithms require that the quantum register be initially present in a superposition state. To achieve this, we consider the practical problem of creating a coherent superposition state of several qubits. Owing to considerations of quantum statistics, this requires that the entropy of the system go down. This, in turn, has two practical implications: (i) the initial state cannot be controlled; (ii) the temperature of the system must be reduced. These factors, in addition to decoherence and sensitivity to errors, must be considered in the implementation of quantum computers.

7 pages; the final published version

References in corpus (1)

• Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer

Cited by in corpus (9)

• Information Complexity of Quantum Gates
• Are Quantum Computing Models Realistic?
• Difficulties in the Implementation of Quantum Computers
• Uncertainty In Quantum Computation
• The Basic Kak Neural Network with Complex Inputs
• Instantaneously Trained Neural Networks
• Representation of Entangled States
• Information and Errors in Quantum Teleportation
• Paradox of Quantum Information