Generation and verification of 27-qubit Greenberger-Horne-Zeilinger states in a superconducting quantum computer

Abstract

Generating and detecting genuine multipartite entanglement (GME) of sizeable quantum states prepared on physical devices is an important benchmark for highlighting the progress of near-term quantum computers. A common approach to certify GME is to prepare a Greenberger-Horne-Zeilinger (GHZ) state and measure a GHZ fidelity of at least 0.5. We measure the fidelities using multiple quantum coherences of GHZ states on 11 to 27 qubits prepared on the IBM Quantum ibmq_montreal device. Combinations of quantum readout error mitigation (QREM) and parity verification error detection are applied to the states. A fidelity of $0.546\pm 0.017$ was recorded for a 27-qubit GHZ state when QREM was used, demonstrating GME across the full device with a confidence level of 98.6%. We benchmarked the effect of parity verification on GHZ fidelity for two GHZ state preparation embeddings on the heavy-hexagon architecture. The results show that the effect of parity verification, while relatively modest, led to a detectable improvement of GHZ fidelity.

16 pages, 7 figures. V3 includes a revised analysis of the data in Figures 5 and 6

References in corpus (11)

• Charge insensitive qubit design derived from the Cooper pair box
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Scalable multi-particle entanglement of trapped ions
• 14-qubit entanglement: creation and coherence
• Experimental entanglement of six photons in graph states
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• A compact ion-trap quantum computing demonstrator
• Measuring measurement
• Entanglement Detection in the Stabilizer Formalism
• Quantum tomography of an entangled three-spin state in silicon
• Quantum fault tolerance in small experiments

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