Entanglement Measures in Embedding Quantum Simulators with Nuclear Spins

Abstract

We implement an embedding quantum simulator (EQS) in nuclear spin systems. The experiment consists of a simulator of up to three qubits, plus a single ancillary qubit, where we are able to efficiently measure the concurrence and the three-tangle of two-qubit and a three-qubit systems as they undergo entangling dynamics. The EQS framework allows us to drastically reduce the number of measurements needed for this task, which otherwise would require full-state reconstruction of the qubit system. Our simulator is built of the nuclear spins of 4 ${}^{13}C$ atoms in a molecule of trans-crotonic acid manipulated with NMR techniques.

7 pages, 5 figures, All comments are welcome!

References in corpus (5)

• Efficient quantum state tomography
• Constructing N-qubit entanglement monotones from anti-linear operators
• Liquid State NMR as a Test-bed for Developing Quantum Control Methods
• Spin-Mechanical Scheme with Color Centers in Hexagonal Boron Nitride Membranes
• Construction of optimal witness for unknown two-qubit entanglement

Cited by in corpus (6)

• Experimental Classification of Entanglement in Arbitrary Three-Qubit States on an NMR Quantum Information Processor
• Quantum metrology with one auxiliary particle in a correlated bath and its quantum simulation
• Controlling NMR spin systems for quantum computation
• Experimentally identifying the entanglement class of pure tripartite states
• Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor
• NOON state generation with phonons in acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble