Quantum nonlocality in the presence of superselection rules and data hiding protocols

Abstract

We consider a quantum system subject to superselection rules, for which certain restrictions apply to the quantum operations that can be implemented. It is shown how the notion of quantum-nonlocality has to be redefined in the presence of superselection rules: there exist separable states that cannot be prepared locally and exhibit some form of nonlocality. Moreover, the notion of local distinguishability in the presence of classical communication has to be altered. This can be used to perform quantum information tasks that are otherwise impossible. In particular, this leads to the introduction of perfect quantum data hiding protocols, for which quantum communication (eventually in the form of a separable but nonlocal state) is needed to unlock the secret.

4 pages

Cited by in corpus (66)

• Quantum entanglement
• The classical-quantum boundary for correlations: discord and related measures
• No Signalling and Quantum Key Distribution
• Reference frames, superselection rules, and quantum information
• The entanglement of indistinguishable particles shared between two parties
• Randomizing quantum states: Constructions and applications
• Quantum tensor product structures are observable-induced
• Bipartite Fluctuations as a Probe of Many-Body Entanglement
• Quantifying Entanglement with Witness Operators
• Quantum protocols for anonymous voting and surveying
• Entanglement in fermionic systems
• Entanglement constrained by superselection rules
• Entanglement in indistinguishable particle systems
• Quantum entanglement theory in the presence of superselection rules
• Nonlocal resources in the presence of Superselection Rules
• Degradation of a quantum reference frame
• Reasonable fermionic quantum information theories require relativity
• Spatial entanglement of bosons in optical lattices
• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• The entanglement of distillation for gauge theories
• Decoherence-full subsystems and the cryptographic power of a private shared reference frame
• Correlation paradox of the dissociation limit: A quantum information perspective
• Quantum teleportation with identical particles
• Entanglement and Tensor Product Decomposition for Two Fermions
• Optimal measurements for relative quantum information
• Quantifying the resource of sharing a reference frame
• Markovian evolution of quantum coherence under symmetric dynamics
• Fermionic systems for quantum information people
• How to observe a coherent superposition of an atom and a molecule
• Entanglement under restricted operations: Analogy to mixed-state entanglement
• Observing quantum non-locality in the entanglement between modes of massive particles
• Quantum correlations in molecules: from quantum resourcing to chemical bonding
• Saturating the quantum Cramér-Rao bound using LOCC
• Entanglement of identical particles and reference phase uncertainty
• New Spin Squeezing and Other Entanglement Tests for Two Mode Systems of Identical Bosons
• Detecting mode entanglement: The role of coherent states, superselection rules and particle statistics
• Entanglement and Symmetry: A Case Study in Superselection Rules, Reference Frames, and Beyond
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Random subspaces for encryption based on a private shared Cartesian frame
• Teleportation transfers only speakable quantum information
• Performances and robustness of quantum teleportation with identical particles
• How much entanglement can be created in a closed system?
• Unextendible Product Basis for Fermionic Systems
• Characterizing electron entanglement in multiterminal mesoscopic conductors
• Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems
• Dynamic symmetry approach to entanglement
• Inaccessible entanglement in symmetry protected topological phases
• Jones index, secret sharing and total quantum dimension
• Quantum communication, reference frames and gauge theory
• Reference frames for Bell inequality violation in the presence of superselection rules
• Entanglement distribution by an arbitrarily inept delivery service
• Methods for Producing Decoherence-Free States and Noiseless Subsystems Using Photonic Qutrits
• Perfect tight quantum teleportation without a shared reference frame
• Fermionic one-body entanglement as a thermodynamic resource
• Quantum Key Distribution with no Shared Reference Frame
• Security Trade-offs in Ancilla-Free Quantum Bit Commitment in the Presence of Superselection Rules
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• The Fate of Entanglement
• Maximal entanglement of two delocalized spin-$\frac{1}{2}$ particles
• A secure deterministic remote state preparation via a seven-qubit entangled channel of an arbitrary two-qubit state under the impact of quantum noise
• Topological correlation: anyonic states cannot be determined by local operations and classical communication
• Symmetry-induced failures of tomographic locality: Constructing foil theories by twirling
• How to hide a secret direction
• Local operation on identical particles systems
• Superselection Rules, Bosonization Duality in 1+1 Dimensions and Momentum-Space Entanglement
• Quantum Resource Theories of Anyonic Entanglement