Entanglement-assisted entanglement purification

Abstract

The efficient generation of high-fidelity entangled states is the key element for long-distance quantum communication, quantum computation and other quantum technologies, and at the same time the most resource-consuming part in many schemes. We present a new class of entanglement-assisted entanglement purification protocols that can generate high-fidelity entanglement from noisy, finite-size ensembles with improved yield and fidelity as compared to previous approaches. The scheme utilizes high-dimensional auxiliary entanglement to perform entangling non-local measurements and determine the number and positions of errors in an ensemble in a controlled and efficient way, without disturbing the entanglement of good pairs. Our protocols can deal with arbitrary errors, but are best suited for few errors, and work particularly well for decay noise. Our methods are applicable to moderate sized ensembles, as will be important for near term quantum devices.

5 pages, 4 figures (see also "Entanglement purification by counting and locating errors with entangling measurements" for a long version version with additional details and results.)

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• Near-term $n$ to $k$ distillation protocols using graph codes
• Heralded and high-efficient entanglement concentrations based on linear optics assisted by time-delay degree of freedom
• Stabilizer Entanglement Distillation and Efficient Fault-Tolerant Encoders
• Collective Operations Can Exponentially Enhance Quantum State Verification
• Deterministic joint remote state preparation with a non-maximally entangled channel
• Improving entanglement purification through coherent superposition of roles
• A modular entanglement-based quantum computer architecture
• Repeater-Based Quantum Communication Protocol: Maximizing Teleportation Fidelity with Minimal Entanglement
• Nondestructive Verification of Entangled States via Fidelity Witnessing
• Performance of entanglement purification including maximally entangled mixed states
• Capacity-Achieving Entanglement Purification Protocol for Pauli Dephasing Channel
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources