1,685 research outputs found
Implementation of a Quantum Search Algorithm on a Nuclear Magnetic Resonance Quantum Computer
We demonstrate an implementation of a quantum search algorithm on a two qubit
NMR quantum computer based on cytosine.Comment: Six pages, three figure
Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem
It is well known that the ground state energy of many-particle Hamiltonians
involving only 2-body interactions can be obtained using constrained
optimizations over density matrices which arise from reducing an N-particle
state. While determining which 2-particle density matrices are "N-
representable" is a computationally hard problem, all known extreme
N-representable 2-particle reduced density matrices arise from a unique
N-particle pre-image, satisfying a conjecture established in 1972. We present
explicit counterexamples to this conjecture through giving Hamiltonians with
2-body interactions which have degenerate ground states that cannot be
distinguished by any 2-body operator. We relate the existence of such
counterexamples to quantum error correction codes and topologically ordered
spin systems.Comment: 4 pages, 1 figur
Complete quantum teleportation using nuclear magnetic resonance
Quantum mechanics provides spectacular new information processing abilities
(Bennett 1995, Preskill 1998). One of the most unexpected is a procedure called
quantum teleportation (Bennett et al 1993) that allows the quantum state of a
system to be transported from one location to another, without moving through
the intervening space. Partial implementations of teleportation (Bouwmeester et
al 1997, Boschi et al 1998) over macroscopic distances have been achieved using
optical systems, but omit the final stage of the teleportation procedure. Here
we report an experimental implementation of the full quantum teleportation
operation over inter-atomic distances using liquid state nuclear magnetic
resonance (NMR). The inclusion of the final stage enables for the first time a
teleportation implementation which may be used as a subroutine in larger
quantum computations, or for quantum communication. Our experiment also
demonstrates the use of quantum process tomography, a procedure to completely
characterize the dynamics of a quantum system. Finally, we demonstrate a
controlled exploitation of decoherence as a tool to assist in the performance
of an experiment.Comment: 15 pages, 2 figures. Minor differences between this and the published
versio
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