Quantum LOSR networks cannot generate graph states with high fidelity

Abstract

Quantum networks lead to novel notions of locality and correlations and an important problem concerns the question of which quantum states can be experimentally prepared with a given network structure and devices and which not. We prove that all multi-qubit graph states arising from a connected graph cannot originate from any quantum network with bipartite sources, as long as feed-forward and quantum memories are not available. Moreover, the fidelity of a multi-qubit graph state and any network state cannot exceed $9/10$. Similar results can also be established for a large class of multi-qudit graph states.

5+11 pages, 5 figures. accepted version

References in corpus (36)

• Quantum entanglement
• Separability Criterion for Density Matrices
• Quantum cryptography: Public key distribution and coin tossing
• Separability of Mixed States: Necessary and Sufficient Conditions
• Quantum metrology
• Bell Inequalities and the Separability Criterion
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Classification of mixed three-qubit states
• 18-qubit entanglement with photon's three degrees of freedom
• A compact ion-trap quantum computing demonstrator
• Separability criteria for genuine multiparticle entanglement
• Separability and distillability of multiparticle quantum systems
• Bell nonlocality in networks
• Quantum Internet Protocol Stack: a Comprehensive Survey
• Genuine quantum nonlocality in the triangle network
• Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic
• The Inflation Technique for Causal Inference with Latent Variables
• Quantum Error Correcting Codes Using Qudit Graph States
• Genuine Network Multipartite Entanglement
• Entanglement on mixed stabiliser states--I: Normal Forms and Reduction Procedures
• Generation and verification of 27-qubit Greenberger-Horne-Zeilinger states in a superconducting quantum computer
• Constraints on nonlocality in networks from no-signaling and independence
• Semidefinite tests for quantum network topologies
• Anonymous Quantum Conference Key Agreement
• Activation of genuine multipartite entanglement: Beyond the single-copy paradigm of entanglement characterisation
• Quantum entanglement in the triangle network
• Network Quantum Steering
• Bounding the sets of classical and quantum correlations in networks
• Entanglement Detection Beyond Measuring Fidelities
• Graph states as ground states of many-body spin-1/2 Hamiltonians
• Symmetries in quantum networks lead to no-go theorems for entanglement distribution and to verification techniques
• Geometry of faithful entanglement
• Characterizing Quantum Networks: Insights from Coherence Theory
• Reversible combination of inequivalent kinds of multipartite entanglement
• Characterizing ground and thermal states of few-body Hamiltonians
• No graph state is preparable in quantum networks with bipartite sources and no classical communication

Cited by in corpus (7)

• Semidefinite programming relaxations for quantum correlations
• Quantum-enhanced metrology with network states
• Bounding the joint numerical range of Pauli strings by graph parameters
• Quantum network-entanglement measures
• The genuinely multipartite nonlocality of graph states is model-dependent
• Features of preparable entangled states in Gaussian quantum networks
• Fully quantum inflation: quantum marginal problem constraints in the service of causal inference