Titlebook: Explorations in Quantum Computing; Colin P. Williams Textbook 2011Latest edition Springer-Verlag London Limited 2011

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Quantum Chemistry with a Quantum Computerues and eigenstates. In this chapter we describe the Abrams-Lloyd and Kitaev eigenvalue estimation algorithms. These provide efficient algorithms for determining the exact eigenvalue associated with a given eigenstate, a feat that is exponentially more difficult to do classically to the same precision.

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Quantum Error Correctionr in a quantum computation as it is in a classical computation because errors may exist along a continuum of possibilities and our ability and we are not even allowed to read a corrupted state directly, because such direct observations would make matters worse rather than better.

Ancillary

Alternative Models of Quantum Computationequivalency frees experimentalists to choose whichever model of quantum computation best fits the quantum physical phenomena they have at their disposal and over which they can exert control. We do not yet know which model of quantum computing will lead to the first genuinely scalable universal quantum computer.

Injunction

,‘,’: Greek Crisis and Precarization,ssed to conceive of algorithms that cannot be run as efficiently on any classical computer. The most important quantum effects are superposition, interference, non-determinism, and entanglement. Superposition allows a quantum computer to act upon an input state representing an exponential number of

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Urgency

Surajit Das,Sukanya Bose,N. R. Bhanumurthyseveral other quantum algorithms. Moreover, by nesting one quantum search algorithm within another, even more impressive speedups appear to be possible, and a better-than-classical exponential time quantum algorithm for . problems appears to be within reach.

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