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Proceedings of the American Mathematical Society
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The article was published on 1950-01-01 and is currently open access. It has received 485 citations till now.read more
Citations
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Quantum computational chemistry
TL;DR: This review presents strategies employed to construct quantum algorithms for quantum chemistry, with the goal that quantum computers will eventually answer presently inaccessible questions, for example, in transition metal catalysis or important biochemical reactions.
Journal ArticleDOI
Sending entanglement through noisy quantum channels.
TL;DR: Some insight can be gained into the security of quantum cryptographic protocols and the nature of quantum error-correcting codes from techniques arising from the transmission of quantum entanglement through (possibly noisy) quantum channels.
Journal ArticleDOI
Quantum data processing and error correction
TL;DR: A quantity called {ital coherent} {ital information}, which measures the amount of quantum information conveyed in the noisy channel, can never be increased by quantum information processing, and it yields a simple necessary and sufficient condition for the existence of perfect quantum error correction.
Journal ArticleDOI
The Bravyi-Kitaev transformation for quantum computation of electronic structure
TL;DR: An alternative method of simulating fermions with qubits, first proposed by Bravyi and Kitaev, is developed that reduces the simulation cost to O(log n) qubit operations for one fermionic operation and demonstrates the superior efficiency of the Bravyi-Kitaev method for all quantum computations of electronic structure.
Journal ArticleDOI
Black-hole thermodynamics in Lovelock gravity.
TL;DR: The thermodynamic properties of black holes in Lovelock gravity are examined and it is found that the specific heat of a black hole becomes positive at small mass, allowing the black hole to achieve stable equilibrium with its environment and giving it an infinite lifetime.
References
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Journal ArticleDOI
Quantum computational chemistry
TL;DR: This review presents strategies employed to construct quantum algorithms for quantum chemistry, with the goal that quantum computers will eventually answer presently inaccessible questions, for example, in transition metal catalysis or important biochemical reactions.
Journal ArticleDOI
Sending entanglement through noisy quantum channels.
TL;DR: Some insight can be gained into the security of quantum cryptographic protocols and the nature of quantum error-correcting codes from techniques arising from the transmission of quantum entanglement through (possibly noisy) quantum channels.
Journal ArticleDOI
Quantum data processing and error correction
TL;DR: A quantity called {ital coherent} {ital information}, which measures the amount of quantum information conveyed in the noisy channel, can never be increased by quantum information processing, and it yields a simple necessary and sufficient condition for the existence of perfect quantum error correction.
Journal ArticleDOI
The Bravyi-Kitaev transformation for quantum computation of electronic structure
TL;DR: An alternative method of simulating fermions with qubits, first proposed by Bravyi and Kitaev, is developed that reduces the simulation cost to O(log n) qubit operations for one fermionic operation and demonstrates the superior efficiency of the Bravyi-Kitaev method for all quantum computations of electronic structure.
Journal ArticleDOI
Black-hole thermodynamics in Lovelock gravity.
TL;DR: The thermodynamic properties of black holes in Lovelock gravity are examined and it is found that the specific heat of a black hole becomes positive at small mass, allowing the black hole to achieve stable equilibrium with its environment and giving it an infinite lifetime.