Mermin's Inequalities of Multiple qubits with Orthogonal Measurements on IBM Q 53-qubit system

Abstract

Entanglement properties of IBM Q 53 qubit quantum computer are carefully examined with the noisy intermediate-scale quantum (NISQ) technology. We study GHZ-like states with multiple qubits (N=2 to N=7) on IBM Rochester and compare their maximal violation values of Mermin polynomials with analytic results. A rule of N-qubits orthogonal measurements is taken to further justify the entanglement less than maximal values of local realism (LR). The orthogonality of measurements is another reliable criterion for entanglement except the maximal values of LR. Our results indicate that the entanglement of IBM 53-qubits is reasonably good when N <= 4 while for the longer entangle chains the entanglement is only valid for some special connectivity.

References in corpus (13)

• Quantum Computing in the NISQ era and beyond
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• The theory of variational hybrid quantum-classical algorithms
• A strong loophole-free test of local realism
• Characterizing Quantum Supremacy in Near-Term Devices
• Validating quantum computers using randomized model circuits
• Multi-Qubit Systems: Highly Entangled States and Entanglement Distribution
• Verifying Multipartite Entangled GHZ States via Multiple Quantum Coherences
• Experimental test of Mermin inequalities on a 5-qubit quantum computer
• Classifying N-qubit Entanglement via Bell's Inequalities
• Experimental demonstration of the violations of Mermin's and Svetlichny's inequalities for W- and GHZ-class of states
• Operational approach to Bell inequalities: applications to qutrits

Cited by in corpus (11)

• Demonstration of a High-Fidelity CNOT for Fixed-Frequency Transmons with Engineered ZZ Suppression
• Conditionally rigorous mitigation of multiqubit measurement errors
• Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices
• Automatic Generation of an Efficient Less-Than Oracle for Quantum Amplitude Amplification
• Playing quantum nonlocal games with six noisy qubits on the cloud
• Divide-and-conquer verification method for noisy intermediate-scale quantum computation
• Non-adaptive measurement-based quantum computation on IBM Q
• Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized $\alpha$-$z$-relative Rényi entropy
• Quantum advantage in temporally flat measurement-based quantum computation
• Error mitigation of entangled states using brainbox quantum autoencoders
• Phase Analysis on the Error Scaling of Entangled Qubits in a 53-Qubit System