Coherent control of the causal order of entanglement distillation
arXiv:2302.13990 · doi:10.1103/PhysRevA.108.062601
Abstract
Indefinite causal order is an evolving field with potential involvement in quantum technologies. Here we propose and study one possible scenario of practical application in quantum communication: a compound entanglement distillation protocol that features two steps of a basic distillation protocol applied in a coherent superposition of two causal orders. This is achieved by using one faulty entangled pair to control-swap two others before a fourth pair is combined with the two swapped ones consecutively. As a result, the protocol distills the four faulty entangled states into one of a higher fidelity. Our protocol has a higher fidelity of distillation and probability of success for some input faulty pairs than conventional concatenations of the basic protocol that follow a definite distillation order. Our proposal shows the advantage of indefinite causal order in an application setting consistent with the requirements of quantum communication.
References in corpus (36)
- Mixed State Entanglement and Quantum Error Correction
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Quantum repeaters based on entanglement purification
- A quantum network of clocks
- Quantum correlations with no causal order
- Quantum computations without definite causal structure
- Quantum Internet: Networking Challenges in Distributed Quantum Computing
- Efficient long distance quantum communication
- Longer-Baseline Telescopes Using Quantum Repeaters
- Entanglement purification and quantum error correction
- Experimental device-independent quantum key distribution between distant users
- Computational advantage from quantum-controlled ordering of gates
- Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
- Enhanced communication with the assistance of indefinite causal order
- Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication
- Witnessing causal nonseparability
- Generating Grid States From Schrödinger Cat States without Post-Selection
- Quantum superposition of the order of parties as a communication resource
- Indefinite causal order enables perfect quantum communication with zero capacity channels
- Quantum Switch for the Quantum Internet: Noiseless Communications through Noisy Channels
- Quantum computation with programmable connections between gates
- Communication through coherent control of quantum channels
- The cost of universality: A comparative study of the overhead of state distillation and code switching with color codes
- Computational advantage from quantum superposition of multiple temporal orders of photonic gates
- Communication through quantum-controlled noise
- Communication Enhancement Through Quantum Coherent Control of Channels in an Indefinite Causal-order Scenario
- Sending classical information via three noisy channels in superposition of causal orders
- Quantum circuits with classical versus quantum control of causal order
- Experimentally feasible computational advantage from quantum superposition of gate orders
- Optimising repeater schemes for the quantum internet
- Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
- Quantum repeaters and quantum key distribution: the impact of entanglement distillation on the secret key rate
- Superposition of causal order enables perfect quantum teleportation with very noisy singlets
- Reassessing the computational advantage of quantum-controlled ordering of gates
- Featuring causal order in teleportation of two quantum teleportation channels