Preparation and Entanglement Purification of Qubits through Zeno-like Measurements

Abstract

A novel method of purification, purification through Zeno-like measurements [H. Nakazato, T. Takazawa, and K. Yuasa, Phys. Rev. Lett. 90, 060401 (2003)], is discussed extensively and applied to a few simple qubit systems. It is explicitly demonstrated how it works and how it is optimized. As possible applications, schemes for initialization of multiple qubits and entanglement purification are presented, and their efficiency is investigated in detail. Simplicity and flexibility of the idea allow us to apply it to various kinds of settings in quantum information and computation, and would provide us with useful and practical methods of state preparation.

12 pages, 9 figures; minor revision on a reference; the version accepted for publication in PRA

References in corpus (11)

• Perfect state transfer in quantum spin networks
• Demonstration of conditional gate operation using superconducting charge qubits
• Efficient engineering of multi-atom entanglement through single-photon detections
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Experimental Realization of Entanglement Concentration and A Quantum Repeater
• Robust creation of entanglement between ions in spatially separate cavities
• Entanglement dynamics and quantum state transport in spin chains
• How to realize a universal quantum gate with trapped ions
• Entangled state preparation via dissipation-assisted adiabatic passages
• Purification through Zeno-like Measurements
• Purification of Quantum State through Zeno-like Measurements

Cited by in corpus (36)

• Quantum Zeno dynamics: mathematical and physical aspects
• Quantum Zeno dynamics of a field in a cavity
• Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics
• Optimal quantum chain communication by end gates
• Anti-Zeno Effect for Quantum Transport in Disordered Systems
• The Generalized Lyapunov Theorem and its Application to Quantum Channels
• Structure identification and state initialization of spin networks with limited access
• Measurement-based quantum phase estimation algorithm for finding eigenvalues of non-unitary matrices
• Extraction of Singlet States from Noninteracting High-Dimensional Spins
• Distillation of Entanglement between Distant Systems by Repeated Measurements on Entanglement Mediator
• Efficient Generation of a Maximally Entangled State by Repeated On- and Off-Resonant Scattering of Ancilla Qubits
• Perfect Zeno-like effect through imperfect measurements at a finite frequency
• Reducing quantum control for spin-spin entanglement distribution
• Quantum Zeno effect for open quantum systems
• Quantum Quasi-Zeno Dynamics: Transitions mediated by frequent projective measurements near the Zeno regime
• Qubit state guidance without feedback
• Quantum State Transfer with Spin Chains
• Influence of dissipation on the extraction of quantum states via repeated measurements
• Steering Distillation by "Pulsed" and "Continuous" Measurements
• Viable entanglement detection of unknown mixed states in low dimensions
• Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence
• Extraction of an Entanglement by Repetition of the Resonant Transmission of an Ancilla Qubit
• Breaking the limits of purification: Postselection enhances heat-bath algorithmic cooling
• Generation and stabilization of Bell states via repeated projective measurements on a driven ancilla qubit
• Generation of polarization entanglement via the quantum Zeno effect
• Refrigeration via purification through repeated measurements
• State Tomography of a Chain of Qubits Embedded in a Spin Field-Effect Transistor via Repeated Spin-Blockade Measurements on the Edge Qubit
• Generic eigenstate preparation via measurement-based purification
• Distillation by repeated measurements: continuous spectrum case
• Extraction of a squeezed state in a field mode via repeated measurements on an auxiliary quantum particle
• Oscillations of the purity in the repeated-measurement-based generation of quantum states
• Thwarted dynamics by partial projective measurements
• Efficient nonclassical state preparation via generalized parity measurement
• Sensitivity of Measurement-Based Purification Processes to Inner Interactions
• Temperature dependent Zeno time for a two level atom tunneling through a thermal magnetic barrier in the framework of weak measurement
• Interaction between hopping and static spins in a discrete network