Journal ArticleDOI
Bulk quantum computation with nuclear magnetic resonance: theory and experiment
TLDR
In this article, it was shown that quantum computation is possible with mixed states instead of pure states as inputs, by embedding within the mixed state a subspace that transforms like a pure state and that can be identified by labelling it based on logical (spin), temporal, or spatial degrees of freedom.Abstract:
We show that quantum computation is possible with mixed states instead of pure states as inputs. This is performed by embedding within the mixed state a subspace that transforms like a pure state and that can be identified by labelling it based on logical (spin), temporal, or spatial degrees of freedom. This permits quantum computation to be realized with bulk ensembles far from the ground state. Experimental results are presented for quantum gates and circuits implemented with liquid nuclear magnetic resonance techniques and verified by quantum state tomography.read more
Citations
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Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
MonographDOI
Geometry of Quantum States: Frontmatter
TL;DR: In this article, the space of isospectral 0Hermitian matrices is shown to be the space in which the number 6) and 7) occur twice in the figure, and the discussion between eqs.(5.14) and (5.15) is incorrect.
Journal ArticleDOI
NMR techniques for quantum control and computation
TL;DR: In this article, a broad variety of pulse control and tomographic techniques have been developed for, and used in, NMR quantum computation and many of these will be useful in other quantum systems now being considered for the implementation of quantum information processing tasks.
Geometry of Quantum States
TL;DR: In this article, the space of isospectral 0Hermitian matrices is shown to be the space in which the number 6) and 7) occur twice in the figure, and the discussion between eqs.(5.14) and (5.15) is incorrect.
Journal ArticleDOI
Experimental realization of a quantum algorithm
TL;DR: In this paper, a quantum algorithm using a bulk nuclear magnetic resonance technique was proposed to solve a purely mathematical problem in fewer steps than is possible classically, requiring fewer 'function calls' than a classical computer to determine the global properties of an unknown function.
References
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Journal ArticleDOI
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
TL;DR: Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
Journal ArticleDOI
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
TL;DR: In this paper, the authors considered factoring integers and finding discrete logarithms on a quantum computer and gave an efficient randomized algorithm for these two problems, which takes a number of steps polynomial in the input size of the integer to be factored.
Book
Principles of nuclear magnetic resonance in one and two dimensions
TL;DR: In this paper, the dynamics of nuclear spin systems were studied by two-dimensional exchange spectroscopy and nuclear magnetic resonance imaging (NEMI) imaging, and two different correlation methods based on coherence transfer were proposed.
Journal ArticleDOI
Elementary gates for quantum computation.
Adriano Barenco,Charles H. Bennett,Richard Cleve,David P. DiVincenzo,Norman Margolus,Peter W. Shor,Tycho Sleator,John A. Smolin,Harald Weinfurter +8 more
TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.
Journal ArticleDOI
Quantum Computations with Cold Trapped Ions.
J. I. Cirac,Peter Zoller +1 more
TL;DR: A quantum computer can be implemented with cold ions confined in a linear trap and interacting with laser beams, where decoherence is negligible, and the measurement can be carried out with a high efficiency.