Lattice Hamiltonians and Stray Interactions Within Quantum Processors

Abstract

Developing Hamiltonian models for quantum processors with many qubits on the same chip is crucial for advancing quantum computing technologies. Stray couplings between qubits lead to errors in gate operations. This study underscores the importance of incorporating lattice Hamiltonians into quantum circuit design. By comparing many-body effects with two-body stray couplings, we show how adjusting circuit parameters can enhance two-qubit gate fidelity. We find that loosely decoupled qubits result in weaker stray interactions and higher gate fidelity, challenging conventional assumptions. We investigate the scenario where three-body $ZZZ$ interaction surpasses two-body $ZZ$ interactions, highlighting the transformative potential of lattice Hamiltonians for novel multi-qubit gates. Moreover, we investigate the cross-resonance gate within the lattice Hamiltonian framework and examine the impact of microwave pulses on stray coupling. This emphasizes the necessity of developing a comprehensive theoretical framework that includes lattice interactions, which are now critical given the sophistication of contemporary quantum hardware. These insights are vital for developing fault-tolerant quantum computing and next-generation quantum processors.

22 pages, 21 figures

References in corpus (31)

• Surface codes: Towards practical large-scale quantum computation
• Noisy intermediate-scale quantum (NISQ) algorithms
• Suppressing quantum errors by scaling a surface code logical qubit
• Phenomenology of fully many-body-localized systems
• Black-box superconducting circuit quantization
• Laser-annealing Josephson junctions for yielding scaled-up superconducting quantum processors
• High-fidelity, high-scalability two-qubit gate scheme for superconducting qubits
• Microwave-induced coupling of superconducting qubits
• Demonstration of a High-Fidelity CNOT for Fixed-Frequency Transmons with Engineered ZZ Suppression
• Suppression of crosstalk in superconducting qubits using dynamical decoupling
• Reducing unitary and spectator errors in cross resonance with optimized rotary echoes
• First-principles analysis of cross-resonance gate operation
• Entangling logical qubits with lattice surgery
• Suppression of Unwanted $ZZ$ Interactions in a Hybrid Two-Qubit System
• High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits
• Transmon platform for quantum computing challenged by chaotic fluctuations
• Triangular color codes on trivalent graphs with flag qubits
• Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits
• Scalable algorithm simplification using quantum AND logic
• Programmable Heisenberg interactions between Floquet qubits
• Demonstration of three- and four-body interactions between trapped-ion spins
• Optimizing quantum gates towards the scale of logical qubits
• Error propagation in NISQ devices for solving classical optimization problems
• Perturbation impact of spectators on a cross-resonance gate in a tunable coupling superconducting circuit
• Demonstration of tunable three-body interactions between superconducting qubits
• ZZ freedom in two qubit gates
• Empowering high-dimensional quantum computing by traversing the dual bosonic ladder
• Controlled-Controlled-Phase Gates for Superconducting Qubits Mediated by a Shared Tunable Coupler
• Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits
• Superconducting qubits beyond the dispersive regime
• An error-protected cross-resonance switch in weakly-tuneable architectures

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