Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer

Details Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer

2002-04-26

arxiv.org/abs/quant-ph/0204157v2

Foundations of Physics 32, 1641 (2002)

Physics

Quantum Physics

LATEX, 24 pages, 1 color .eps figure. This new version has been accepted for publication in Foundations of Physics

Scientific paper

10.1023/A:1021471621587

The primary resource for quantum computation is Hilbert-space dimension. Whereas Hilbert space itself is an abstract construction, the number of dimensions available to a system is a physical quantity that requires physical resources. Avoiding a demand for an exponential amount of these resources places a fundamental constraint on the systems that are suitable for scalable quantum computation. To be scalable, the effective number of degrees of freedom in the computer must grow nearly linearly with the number of qubits in an equivalent qubit-based quantum computer.

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