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Completely depolarising channels, which transform every input state into white noise, are often regarded as the prototype of physical processes that are useless for communication. Here we show that the ability to combine N completely depolarising channels in a superposition of N alternative causal orders related by cyclic permutations enables a high-fidelity, heralded transmission of quantum information in the large N limit, and a deterministic transmission of quantum data assisted by classical communication for every N > 13. These phenomena highlight a fundamental difference with the N = 2 case, where the superposition of causal orders does not enable transmission of quantum data through completely depolarising channels. In addition, the ability to control N > 2 causal orders leads to an increase of the classical communication capacity, for which we derive an exact single-letter expression.
We consider the transfer of classical and quantum information through a memory amplitude damping channel. Such a quantum channel is modeled as a damped harmonic oscillator, the interaction between the information carriers - a train of qubits - and th
We investigate the advantage of coherent superposition of two different coded channels in quantum metrology. In a continuous variable system, we show that the Heisenberg limit $1/N$ can be beaten by the coherent superposition without the help of inde
Models for quantum computation with circuit connections subject to the quantum superposition principle have been recently proposed. There, a control quantum system can coherently determine the order in which a target quantum system undergoes $N$ gate
We study the Kimble-Braunstein continuous-variable quantum teleportation with the quantum channel physically realized in the turbulent atmosphere. In this context, we examine the applicability of different strategies preserving the Gaussian entanglem
The ability to generate light in a pure quantum state is essential for advances in optical quantum technologies. However, obtaining quantum states with control in the photon-number has remained elusive. Optical light fields with zero and one photon c