Programmable quantum state discriminator by Nuclear Magnetic Resonance

Abstract

In this paper a programmable quantum state discriminator is implemented by using nuclear magnetic resonance. We use a two qubit spin-1/2 system, one for the data qubit and one for the ancilla (programme) qubit. This device does the unambiguous (error free) discrimination of pair of states of the data qubit that are symmetrically located about a fixed state. The device is used to discriminate both, linearly polarized states and elliptically polarized states. The maximum probability of the successful discrimination is achieved by suitably preparing the ancilla qubit. It is also shown that, the probability of discrimination depends on angle of unitary operator of the protocol and ellipticity of the data qubit state.

arXiv comment22 pages and 9 figures

References in corpus (28)

• Quantum Mechanics helps in searching for a needle in a haystack
• Experimental realization of a quantum algorithm
• Implementation of a Quantum Search Algorithm on a Nuclear Magnetic Resonance Quantum Computer
• Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
• Quantum State Discrimination
• Programmable quantum gate arrays
• Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a Nuclear Magnetic Resonance Quantum Computer
• Optimum Unambiguous Discrimination Between Linearly Independent Symmetric States
• Experimental Implementation of the Quantum Random-Walk Algorithm
• Effective Pure States for Bulk Quantum Computation
• Unambiguous state discrimination in quantum cryptography with weak coherent states
• An experimental observation of geometric phases for mixed states using NMR interferometry
• Storing quantum dynamics in quantum states: stochastic programmable gate for U(1) operations
• Implementing quantum logic operations, pseudo-pure states and the Deutsch-Jozsa algorithm using non-commuting selective pulses in NMR
• Quantum multimeters: A programmable state discriminator
• Probabilistic implementation of universal quantum processors
• Unambiguous Discrimination Between Linearly Dependent States with Multiple Copies
• Universal measurement apparatus controlled by quantum software
• Use of Quadrupolar Nuclei for Quantum Information processing by Nuclear Magnetic Resonance: Implementation of a Quantum Algorithm
• A quantum gate array can be programmed to evaluate the expectation value of any operator
• Near-Complete Teleportation of a Superposed Coherent State
• Probabilistic quantum multimeters
• Experimental realization of a programmable quantum-state discriminator and a phase-covariant quantum multimeter
• Quantum universal detectors
• Implementation of Conditional Phase Shift gate for Quantum Information Processing by NMR, using Transition-selective pulses
• Scaling issues in ensemble implementations of the Deutsch-Jozsa algorithm
• Modified Grover's algorithm for an expectation value quantum computer
• Polarization enhancement in $\vec{d}(\vec{p}$,${}^2$He)n reaction: Nuclear teleportation

Cited by in corpus (3)

• A general approach to physical realization of unambiguous quantum-state discrimination
• Experimental realization of programmable quantum gate
• Quantum measurements of atoms using cavity QED