Quantum Tasks in Minkowski Space

Abstract

The fundamental properties of quantum information and its applications to computing and cryptography have been greatly illuminated by considering information-theoretic tasks that are provably possible or impossible within non-relativistic quantum mechanics. I describe here a general framework for defining tasks within (special) relativistic quantum theory and illustrate it with examples from relativistic quantum cryptography and relativistic distributed quantum computation. The framework gives a unified description of all tasks previously considered and also defines a large class of new questions about the properties of quantum information in relation to Minkowski causality. It offers a way of exploring interesting new fundamental tasks and applications, and also highlights the scope for a more systematic understanding of the fundamental information-theoretic properties of relativistic quantum theory.

References in corpus (16)

• Device-independent security of quantum cryptography against collective attacks
• Informational derivation of Quantum Theory
• Device-independent quantum key distribution secure against collective attacks
• Secure device-independent quantum key distribution with causally independent measurement devices
• Private Randomness Expansion With Untrusted Devices
• Memory Attacks on Device-Independent Quantum Cryptography
• Efficient quantum key distribution secure against no-signalling eavesdroppers
• Unconditionally Secure Bit Commitment by Transmitting Measurement Outcomes
• Simplified instantaneous non-local quantum computation with applications to position-based cryptography
• Unconditionally Secure Bit Commitment with Flying Qudits
• Location-Dependent Communications using Quantum Entanglement
• Device-Independent Quantum Key Distribution with Commuting Measurements
• Fully Distrustful Quantum Cryptography
• Location-Oblivious Data Transfer with Flying Entangled Qudits
• Variable Bias Coin Tossing
• A stronger no-cloning theorem

Cited by in corpus (41)

• Position-Based Quantum Cryptography: Impossibility and Constructions
• Secure bit commitment from relativistic constraints
• Device-Independent Relativistic Quantum Bit Commitment
• Practical Position-Based Quantum Cryptography
• Summoning Information in Spacetime, or Where and When Can a Qubit Be?
• Random-Receiver Quantum Communication
• Spacetime-constrained oblivious transfer
• Quantum Signaling in Relativistic Motion and Across Acceleration Horizons
• A Quantum Paradox of Choice: More Freedom Makes Summoning a Quantum State Harder
• Security Details for Bit Commitment by Transmitting Measurement Outcomes
• Practical and unconditionally secure spacetime-constrained oblivious transfer
• Multiphoton and side-channel attacks in mistrustful quantum cryptography
• Holographic quantum tasks with input and output regions
• The connected wedge theorem and its consequences
• Quantum tasks in holography
• Space in Monoidal Categories
• Spacetime replication of continuous variable quantum information
• One-out-of-$m$ spacetime-constrained oblivious transfer
• Deterministic Relativistic Quantum Bit Commitment
• S-money: virtual tokens for a relativistic economy
• Superoscillations underlying remote state preparation for relativistic fields
• Holographic scattering and non-minimal RT surfaces
• Bulk private curves require large conditional mutual information
• Quantum State Readout, Collapses, Probes and Signals
• Secure positioning and non-local correlations
• Quantum non-locality, causality and mistrustful cryptography
• Unconstrained Summoning for relativistic quantum information processing
• Code-routing: a new attack on position verification
• Encrypted Qubits can be Cloned
• Localizing and excluding quantum information; or, how to share a quantum secret in spacetime
• Unconditionally secure relativistic multi-party biased coin flipping and die rolling
• Topological obstructions to quantum computation with unitary oracles
• Secure and Robust Transmission and Verification of Unknown Quantum States in Minkowski Space
• Lorentz-covariant sampling theory for fields
• An Information-Theoretic Analog of the Twin Paradox
• A Quantum Paradox of Choice and Purported Classical Analogues
• Constraining the doability of relativistic quantum tasks
• Distributing bipartite quantum systems under timing constraints
• Topologically driven no-superposing theorem with a tight error bound
• Summoning, No-Signaling and Relativistic Bit Commitments
• Comparing Singlet Testing Schemes