Relativistic (2,3)-threshold quantum secret sharing
arXiv:1708.01339 · doi:10.1103/PhysRevD.96.065018
Abstract
In quantum secret sharing protocols, the usual presumption is that the distribution of quantum shares and players' collaboration are both performed inertially. Here we develop a quantum secret sharing protocol that relaxes these assumptions wherein we consider the effects due to the accelerating motion of the shares. Specifically, we solve the (2,3)-threshold continuous-variable quantum secret sharing in non-inertial frames. To this aim, we formulate the effect of relativistic motion on the quantum field inside a cavity as a bosonic quantum Gaussian channel. We investigate how the fidelity of quantum secret sharing is affected by non-uniform motion of the quantum shares. Furthermore, we fully characterize the canonical form of the Gaussian channel which can be utilized in quantum information processing protocols to include relativistic effects.
10 pages, 14 figures, typos corrected and some explanation added for clarification
References in corpus (24)
- Gaussian Quantum Information
- How to share a quantum secret
- Continuous variable quantum information: Gaussian states and beyond
- Tripartite Quantum State Sharing
- Graph States for Quantum Secret Sharing
- The Real Symplectic Groups in Quantum Mechanics and Optics
- A No-Go Theorem for Gaussian Quantum Error Correction
- Unconditional security of entanglement-based continuous-variable quantum secret sharing
- How to share a continuous-variable quantum secret by optical interferometry
- Relativistic Quantum Teleportation with Superconducting Circuits
- Quantum metrology for relativistic quantum fields
- Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies
- Voyage to Alpha Centauri: Entanglement degradation of cavity modes due to motion
- Scalar, spinor, and photon fields under relativistic cavity motion
- Continuous Variables (2,3) Threshold Quantum Secret Sharing Schemes
- Quantum Communication with an Accelerated Partner
- Localised projective measurement of a relativistic quantum field in non-inertial frames
- Localized detection of quantum entanglement through the event horizon
- Twin paradox with macroscopic clocks in superconducting circuits
- Effect of relativistic acceleration on localized two-mode Gaussian quantum states
- Summoning Information in Spacetime, or Where and When Can a Qubit Be?
- Efficient sharing of a continuous-variable quantum secret
- Effect of acceleration on localized fermionic Gaussian states: from vacuum entanglement to maximally entangled states
- Spacetime replication of continuous variable quantum information