1D Cluster State Generation On Superconducting Hardware

2025/08/29 by Sharma, Rahul Dev
Computer Science · #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.48550/arxiv.2508.21798

Abstract

Measurement-based Quantum Computation(MBQC) utilize entanglement as resource for performing quantum computation. Generating cluster state using entanglement as resource is a key bottleneck for the adoption of MBQC. To generate cluster state with charge-qubit arrrays, we provide analytical derivations and numerical validations for 4-qubit cluster state. We compare our fidelities under ideal (noise-free) Hamiltonian evolution and due to effect of decoherence. We show incorporating energy relaxation (T₁) yields >90% fidelity while pure dephasing T₂ show 70% decays at fourth harmonics. We further show under noise T₂ decays to 50% within 15 time units, versus >70% under relaxation time units (T₁)--only. This decay quantify degradation effect of T₂ on preparing cluster--state preparation is more than T₁. We highlight the critical need for targeted error-mitigation strategies in near-term MBQC implementations.

Citations

• Trotterization in Quantum Theory
• Quantum Computing in the NISQ era and beyond
• Topological Quantum Computation
• Quantum-state engineering with Josephson-junction devices
• Simulating physics with computers
• Stabilizer Codes and Quantum Error Correction
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Related

• Measurement-based quantum computation with superconducting charge qubits
• Generating time-domain linear cluster state by recycling superconducting qubits
• Realizations of Measurement Based Quantum Computing
• Generation of 95-qubit genuine entanglement and verification of symmetry-protected topological phases
• Robustness of cluster states and surface code states against random local fields