Effect of qubit losses on Grover's quantum search algorithm

Abstract

We investigate the performance of Grover's quantum search algorithm on a register which is subject to loss of the particles that carry the qubit information. Under the assumption that the basic steps of the algorithm are applied correctly on the correspondingly shrinking register, we show that the algorithm converges to mixed states with 50% overlap with the target state in the bit positions still present. As an alternative to error correction, we present a procedure that combines the outcome of different trials of the algorithm to determine the solution to the full search problem. The procedure may be relevant for experiments where the algorithm is adapted as the loss of particles is registered, and for experiments with Rydberg blockade interactions among neutral atoms, where monitoring of the atom losses is not even necessary.

14 pages, 3 figures

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Quantum information with Rydberg atoms
• Demonstration of a neutral atom controlled-NOT quantum gate
• Entanglement of atoms via cold controlled collisions
• Entanglement of two individual neutral atoms using Rydberg blockade
• Quantum computers can search rapidly by using almost any transformation
• Quantum computers can search arbitrarily large databases by a single query
• Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms
• Loss tolerance in one-way quantum computation via counterfactual error correction
• Implementation of Grover's Quantum Search Algorithm in a Scalable System
• Loss Tolerant Optical Qubits
• Implementation of quantum search algorithm using classical Fourier optics
• Thresholds for topological codes in the presence of loss
• Grover's Quantum Search Algorithm for an Arbitrary Initial Amplitude Distribution
• Effects of Noisy Oracle on Search Algorithm Complexity
• Efficient Grover search with Rydberg blockade
• The effect of unitary noise on Grover's quantum search algorithm
• Noise effect on Grover algorithm
• Robust quantum searching with spontaneously decaying qubits

Cited by in corpus (2)

• Ground-state blockade of Rydberg atoms and application in entanglement generation
• Prospect of using Grover's search in the noisy-intermediate-scale quantum-computer era