Quantum Algorithms

Mosca, Michele

doi:10.1007/978-0-387-30440-3_423

Cited by 40 publications

(43 citation statements)

References 109 publications

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“…In the case of the Dicke model these irreducible subspaces, invariant under the action of Hamiltonian and Lindblad operators formed from collective generators of SU (2), are the irreducible representations of su (2). However for arbitrary sized ensembles of Λ atoms it is natural to examine the irreducible representations of su (3). Furthermore, the Effective Operator Formalism [22] has provided an extremely elegant method for performing adiabatic elimination [30], such that it is possible to isolate effective ground state dynamics.…”

Section: Preliminary Theorymentioning

confidence: 99%

“…Following [31] we construct these invariant irreducible subspaces of the total atomic Hilbert space through a generalized angular momentum approach. This process will involve the reduction of the direct product of individual atomic Hilbert spaces, each spanned by a fundamental representation of su(3), into a unique direct sum of subspaces spanned by irreducible representations of su (3).…”

Section: Preliminary Theorymentioning

confidence: 99%

“…This approach is in direct analogy to the approach taken in particle physics, where the irreducible representations of su(3) are used to construct Baryon and Meson multiplets from up, down and strange quarks and antiquarks, which collectively form the two fundamental representations of su (3) in that context [31].…”

Section: Preliminary Theorymentioning

confidence: 99%

“…Many quantum algorithms have been designed and studied [2]- [3], however in order for their implementation to become a reality it is essential to be capable of creating and manipulating large scale entanglement between effective physical qubits. One of the primary obstacles in this regard is the interaction of a system with its environment, resulting in dissipation and decoherence [4].…”

Section: Introductionmentioning

confidence: 99%

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Dissipative preparation of largeWstates in optical cavities

2013

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Two novel schemes are proposed for the dissipative preparation of large W states, of the order of ten qubits, within the context of Cavity QED. By utilizing properties of the irreducible representations of su(3), we are able to construct protocols in which it is possible to restrict the open system dynamics to a fully symmetric irreducible subspace of the total Hilbert space, and hence obtain analytic solutions for effective ground state dynamics of arbitrary sized ensembles of Λ atoms within an optical cavity. In the proposed schemes, the natural decay processes of spontaneous emission and photon loss are no longer undesirable, but essential to the required dynamics. All aspects of the proposed schemes relevant to implementation in currently available optical cavities are explored, especially with respect to increasing system size.

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Section: Preliminary Theorymentioning

confidence: 99%

Section: Preliminary Theorymentioning

confidence: 99%

Section: Preliminary Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dissipative preparation of largeWstates in optical cavities

2013

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“…Recent work in the area of quantum cryptanalysis includes [33,71,127,128,150,196]. See also [13,184] for surveys on quantum algorithms, as well as the Quantum Algorithm Zoo. 2 • Merkle puzzles in a quantum world The first unclassified proposal for secure communication over insecure channels was made by Merkle in 1974 (published years later [176]).…”

Section: Further Topicsmentioning

confidence: 99%

Quantum cryptography beyond quantum key distribution

Broadbent

Schaffner

2015

Des. Codes Cryptogr.

187

112

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Quantum cryptography is the art and science of exploiting quantum mechanical effects in order to perform cryptographic tasks. While the most well-known example of this discipline is quantum key distribution (QKD), there exist many other applications such as quantum money, randomness generation, secure two-and multi-party computation and delegated quantum computation. Quantum cryptography also studies the limitations and challenges resulting from quantum adversaries-including the impossibility of quantum bit commitment, the difficulty of quantum rewinding and the definition of quantum security models for classical primitives. In this review article, aimed primarily at cryptographers unfamiliar with the quantum world, we survey the area of theoretical quantum cryptography, with an emphasis on the constructions and limitations beyond the realm of QKD.

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Bibliography

2014

Quantum Networking

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Quantum Algorithms

Cited by 40 publications

References 109 publications

Dissipative preparation of largeWstates in optical cavities

Dissipative preparation of largeWstates in optical cavities

Quantum cryptography beyond quantum key distribution

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