Linear-optical fusion boosted by high-dimensional entanglement

Abstract

We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$ without ancilla photons and $1-d^{-(k+1)}$ with $2(2^k-1)$ ancilla photons. It allows us to entangle two independently-prepared high-dimensional entangled states two-dimensionally with higher probabilities than ones of linear-optical fusion gates on qubits. As an application, we propose a fast quantum repeater protocol with three-qudit GHZ states and quantum memories.

6+10 pages, 3+2 figures

References in corpus (54)

• Long-distance quantum communication with atomic ensembles and linear optics
• Review article: Linear optical quantum computing
• Security of quantum key distribution using d-level systems
• Bell inequalities for arbitrarily high dimensional systems
• Beating the channel capacity limit for linear photonic superdense coding
• Multidimensional quantum entanglement with large-scale integrated optics
• Resource-efficient linear optical quantum computation
• Twisted Photons: New Quantum Perspectives in High Dimensions
• All photonic quantum repeaters
• Quantum repeaters: From quantum networks to the quantum internet
• Efficient long distance quantum communication
• High-dimensional quantum communication: benefits, progress, and future challenges
• Quantum teleportation in high dimensions
• Deterministic Generation of a Cluster State of Entangled Photons
• A photonic cluster state machine gun
• Maximum efficiency of a linear-optical Bell-state analyzer
• Photon temporal modes: a complete framework for quantum information science
• Quantum Repeater with Encoding
• Programmable unitary spatial modes manipulation
• Frequency-encoded photonic qubits for scalable quantum information processing
• Hyperentanglement-assisted Bell-state analysis
• From three-photon GHZ states to ballistic universal quantum computation
• From quantum fusiliers to high-performance networks
• 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
• Experimental GHZ Entanglement beyond Qubits
• High-dimensional quantum gates using full-field spatial modes of photons
• Linear Optical Quantum Computing in a Single Spatial Mode
• Quantum Storage of Three-Dimensional Orbital-Angular-Momentum Entanglement in a Crystal
• Quantum Repeaters based on Single Trapped Ions
• Generalized measurements by linear elements
• Percolation, renormalization, and quantum computing with non-deterministic gates
• Quantum entanglement swapping between two multipartite entangled states
• Connecting heterogeneous quantum networks by hybrid entanglement swapping
• Ultrafast Long-Distance Quantum Communication with Static Linear Optics
• Tools for quantum network design
• A scheme for universal high-dimensional quantum computation with linear optics
• Is high-dimensional photonic entanglement robust to noise?
• Beating the One-half Limit of Ancilla-free Linear Optics Bell Measurements
• Quantification of multidimensional entanglement stored in a crystal
• Fusion of deterministically generated photonic graph states
• Generation of time-frequency grid state with integrated biphoton frequency combs
• Quantum repeaters with individual rare-earth ions at telecommunication wavelengths
• An arbitrary two-particle high-dimensional Bell state measurement by auxiliary entanglement
• Time-frequency as quantum continuous variables
• Protocols for long-distance quantum communication with single ${}^{167}$Er ions
• Investigating the optimality of ancilla-assisted linear optical Bell measurements
• Linear Optical Quantum Computation with Frequency-Comb Qubits and Passive Devices
• Long range failure-tolerant entanglement distribution
• Preparation of multiphoton high-dimensional GHZ state
• High-dimensional Frequency-Encoded Quantum Information Processing with Passive Photonics and Time-Resolving Detection
• Tailoring fusion-based error correction for high thresholds to biased fusion failures
• Protocol for generation of high-dimensional entanglement from an array of non-interacting photon emitters
• Deterministic generation of qudit photonic graph states from quantum emitters
• Exponentially Enhanced Scheme for the Heralded Qudit GHZ State in Linear Optics

Cited by in corpus (3)

• Fusion for High-Dimensional Linear Optical Quantum Computing with Improved Success Probability
• Entanglement swapping in high dimensions with only linear optics
• High-rate qutrit entanglement swapping with photon-number-basis