Detecting and quantifying entanglement on near-term quantum devices

Abstract Quantum entanglement is a key resource in quantum technology, and its quantification vital task the current noisy intermediate-scale (NISQ) era. This paper combines hybrid quantum-classical computation quasi-probability decomposition to propose two variational algorithms, called detection (VED) logarithmic negativity estimation (VLNE), for detecting quantifying on near-term devices, respectively. VED makes use of positive map criterion works as follows. Firstly, it decomposes into combination operations implementable devices. It then variationally estimates minimal eigenvalue final state, obtained by executing these target state averaging output states. Deterministic probabilistic methods are proposed compute average. At last, asserts that entangled if optimized negative. VLNE builds upon linear transpose Pauli terms recently trace distance algorithm. well-known measure could be applied quantify Experimental numerical results Bell isotropic states, Breuer states show validity methods.