INVESTIGADORES
IEMMI Claudio Cesar
artículos
Título:
Simulating a quantum walk with classical optics
Autor/es:
D. FRANCISCO; CLAUDIO IEMMI; J. PAZ; S. LEDESMA
Revista:
PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS
Editorial:
The American Physical Society
Referencias:
Año: 2006 vol. 74 p. 52327 - 52327
ISSN:
1050-2947
Resumen:
We present an optical module to simulate one step of a quantum walk algorithm. The quantum state of a system with a 2N-dimensional Hilbert space is encoded in the spatial distribution of the amplitude of the electromagnetic field in a plane. In such spatial encoding, the probability amplitude of each state of a basis is associated with the complex electromagnetic amplitude in a given slice of the laser wave front. We discuss the design and operation of an optical module that is used to implement one step of a quantum walk algorithm. Using this module, composed by standard optical elements, the evolution of the quantum state corresponds to the application of a Hadamard gate on a single qubit representing the two-dimensional quantum coin followed by a displacement of the N-dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations.N-dimensional Hilbert space is encoded in the spatial distribution of the amplitude of the electromagnetic field in a plane. In such spatial encoding, the probability amplitude of each state of a basis is associated with the complex electromagnetic amplitude in a given slice of the laser wave front. We discuss the design and operation of an optical module that is used to implement one step of a quantum walk algorithm. Using this module, composed by standard optical elements, the evolution of the quantum state corresponds to the application of a Hadamard gate on a single qubit representing the two-dimensional quantum coin followed by a displacement of the N-dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations.representing the two-dimensional quantum coin followed by a displacement of the N-dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations.N-dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations.
