Minimal classical communication and measurement complexity for quantum information splitting
arXiv:0812.4214 · doi:10.1088/0953-4075/41/1/015503
Abstract
We present two quantum information splitting schemes using respectively tripartite GHZ and asymmetric W states as quantum channels. We show that, if the secret state is chosen from a special ensemble and known to the sender (Alice), then she can split and distribute it to the receivers Bob and Charlie by performing only a single-qubit measurement and broadcasting an one-cbit message. It is clear that no other schemes could possibly achieve the same goal with simpler measurement and less classical communication. In comparison, existing schemes work for arbitrary quantum states which need not be known to Alice, however she is required to perform a two-qubit Bell measurement and communicate a two-cbit message. Hence there is a trade off between flexibility and measurement complexity plus classical resource. In situations where our schemes are applicable, they will greatly reduce the measurement complexity and at the same time cut the communication overhead by one half.
References in corpus (35)
- Quantum secret sharing
- How to share a quantum secret
- Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
- Minimum cbits for remote preperation and measurement of a qubit
- On the Theory of Quantum Secret Sharing
- Tripartite Quantum State Sharing
- Multiparty Quantum Secret Sharing
- Multiparty quantum state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs
- Teleportation and Dense Coding with Genuine Multipartite Entanglement
- Optimal local implementation of non-local quantum gates
- Quantum teleportation of an arbitrary two qubit state and its relation to multipartite entanglement
- Entanglement Teleportation via Werner States
- Remote state preparation: arbitrary remote control of photon polarization
- Faithful remote state preparation using finite classical bits and a non-maximally entangled state
- Optimal Remote State Preparation
- Teleportation and Secret Sharing with Pure Entangled States
- Oblivious remote state preparation
- Remote Preparation of Mixed States via Noisy Entanglement
- Low-Entanglement Remote State Preparation
- Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements
- Probabilistic teleportation of two-particle entangled state
- Probabilistic Quantum Teleportation
- The non-local content of quantum operations
- Generalized Quantum State Sharing
- Continuous variable remote state preparation
- Generalized remote state preparation: Trading cbits, qubits and ebits in quantum communication
- Many-agent controlled teleportation of multi-qubit quantum information
- Generalized Quantum Secret Sharing
- Continuous Variable Quantum State Sharing via Quantum Disentanglement
- Remote State Preparation without Oblivious Conditions
- Optimal conclusive teleportation of quantum states
- Three-party qutrit-state sharing
- General criterion for oblivious remote state preparation
- Teleportation with a Mixed State of Four Qubits and the Generalized Singlet Fraction
- Controlled Quantum Secret Sharing