"Spectral Implementation" for creating a labeled pseudo-pure state and the Bernstein-Vazirani's algorithm in a four-qubit nuclear magnetic resonance quantum processor

Abstract

A quantum circuit is introducted to describe the preparation of a labeled pseudo-pure state by mutiplet-component excitation scheme which has been experimentally implemented on a 4-qubit nuclear magnetic resonance quantum processor. Meanwhile, we theoretically analyze and numerically inverstigate the low-power selective single-pulse implementation of a controlled-rotation gate, which manifests its validity in our experiment. Based on the labeled pseudo-pure state prepared, a 3-qubit Bernstein-Vazirani algorithm has been experimentally demonstrated by spectral implementation. The "answers" of the computations are indentified from the split speak positions in the spectra of the observer spin, which are equivalent to projective measurements required by the algorithms.

7 pages

References in corpus (6)

• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Ion-trap quantum logic using long-wavelength radiation
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Implementation of the Five Qubit Error Correction Benchmark
• Preparation of pseudo-pure states by line-selective pulses in Nuclear Magnetic Resonance
• Implementation of a quantum algorithm to solve Bernstein-Vazirani's parity problem without entanglement on an ensemble quantum computer

Cited by in corpus (3)

• Quantum Computing with NMR
• Controlling NMR spin systems for quantum computation
• Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance