A periodic probabilistic photonic cluster state generator

Fanto, Michael L.; Smith, A. Matthew; Alsing, Paul M.; Tison, Christopher C.; Preble, Stefan F.; Lott, G.E.; Osman, Joseph M.; Szep, Attila; Kim, Richard S.

doi:10.1117/12.2067493

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a quantum entangled system, such a conclusion cannot be reached any longer: entangled quantum states can carry more information in joint properties than what may be concluded from knowledge of the individual subsystems [57]. In recent years, entanglement has undergone foundational investigations [58], more theoretically oriented studies of relativistic nature [59,60], and very practical investigations [61]. For an experimental realization of quantum entanglement in terms of orbital angular momentum states of photons, we refer to [62].…”

Section: Entanglementmentioning

confidence: 99%

Geometric algebra and information geometry for quantum computational software

Cafaro

2017

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

The art of quantum algorithm design is highly nontrivial. Grover's search algorithm constitutes a masterpiece of quantum computational software. In this article, we use methods of geometric algebra (GA) and information geometry (IG) to enhance the algebraic efficiency and the geometrical significance of the digital and analog representations of Grover's algorithm, respectively. Specifically, GA is used to describe the Grover iterate and the discretized iterative procedure that exploits quantum interference to amplify the probability amplitude of the target-state before measuring the query register. The transition from digital to analog descriptions occurs via Stone's theorem which relates the (unitary) Grover iterate to a suitable (Hermitian) Hamiltonian that controls Schrodinger's quantum mechanical evolution of a quantum state towards the target state. Once the discrete-to-continuos transition is completed, IG is used to interpret Grover's iterative procedure as a geodesic path on the manifold of the parametric density operators of pure quantum states constructed from the continuous approximation of the parametric quantum output state in Grover's algorithm. Finally, we discuss the dissipationless nature of quantum computing, recover the quadratic speedup relation, and identify the superfluity of the Walsh-Hadamard operation from an IG perspective with emphasis on statistical mechanical considerations.

show abstract

Section: Entanglementmentioning

confidence: 99%

Geometric algebra and information geometry for quantum computational software

Cafaro

2017

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

A periodic probabilistic photonic cluster state generator

Cited by 1 publication

References 0 publications

Geometric algebra and information geometry for quantum computational software

Geometric algebra and information geometry for quantum computational software

Contact Info

Product

Resources

About