Measuring the tangle of three-qubit states

Abstract

We present a quantum circuit that transforms an unknown three-qubit state into its canonical form, up to relative phases, given many copies of the original state. The circuit is made of three single-qubit parametrized quantum gates, and the optimal values for the parameters are learned in a variational fashion. Once this transformation is achieved, direct measurement of outcome probabilities in the computational basis provides an estimate of the tangle, which quantifies genuine tripartite entanglement. We perform simulations on a set of random states under different noise conditions to asses the validity of the method.

arXiv comment7 pages, 6 figures; Published: 11 April 2020

References in corpus (18)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Quantum entanglement in condensed matter systems
• Four qubits can be entangled in nine different ways
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Variational Quantum State Diagonalization
• A short review on entanglement in quantum spin systems
• On local invariants of pure three-qubit states
• Local unitary equivalence of multipartite pure states
• Higher order Schmidt decompositions
• Measuring Polynomial Invariants of Multi-Party Quantum States
• Quantum Singular Value Decomposer
• Entanglement of three-qubit random pure states
• Existence of the Schmidt decomposition for tripartite systems
• Distinguishing different classes of entanglement of three-qubit pure states

Cited by in corpus (6)

• Noisy intermediate-scale quantum (NISQ) algorithms
• Qibo: a framework for quantum simulation with hardware acceleration
• Quantum Singular Value Decomposer
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Maximally entangled real states and SLOCC invariants: the 3-qutrit case
• Distribution of Non-Locality On Quantum Random Circuits