Efficient Chromatic-Number-Based Multi-Qubit Decoherence and Crosstalk Suppression
arXiv:2406.13901 · doi:10.1103/1d4l-73x6
Abstract
The performance of quantum computers is hindered by decoherence and crosstalk, which cause errors and limit the ability to perform long computations. Dynamical decoupling is a technique that alleviates these issues by applying carefully timed pulses to individual qubits, effectively suppressing unwanted interactions. However, as quantum devices grow in size, it becomes increasingly important to minimize the time required to implement dynamical decoupling across the entire system. Here, we present "Chromatic-Hadamard Dynamical Decoupling" (CHaDD), an approach that efficiently schedules dynamical decoupling pulses for quantum devices with arbitrary qubit connectivity. By leveraging Hadamard matrices, CHaDD achieves a circuit depth that scales linearly with the chromatic number of the connectivity graph for general two-qubit interactions, assuming instantaneous pulses. This includes ZZ crosstalk, which is prevalent in superconducting QPUs. CHaDD's scaling represents an exponential improvement over all previous multi-qubit decoupling schemes for devices with connectivity graphs whose chromatic number grows at most polylogarithmically with the number of qubits. For graphs with a constant chromatic number, CHaDD's scaling is independent of the number of qubits. We report on experiments we have conducted using IBM QPUs that confirm the advantage conferred by CHaDD. Our results suggest that CHaDD can become a useful tool for enhancing the performance and scalability of quantum computers by efficiently suppressing decoherence and crosstalk across large qubit arrays.
12 pages, 9 figures; v3 includes experimental results confirming the theoretically predicted advantage of CHaDD and various other updates
References in corpus (53)
- Quantum Computing in the NISQ era and beyond
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Optimized Dynamical Decoupling in a Model Quantum Memory
- Fault-Tolerant Quantum Dynamical Decoupling
- Efficient Z-Gates for Quantum Computing
- Experimental Comparison of Two Quantum Computing Architectures
- Qudits and high-dimensional quantum computing
- Symmetrizing Evolutions
- Dynamical decoupling noise spectroscopy
- Using Parity Kicks for Decoherence Control
- Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Detecting crosstalk errors in quantum information processors
- Random decoupling schemes for quantum dynamical control and error suppression
- Quantum metrology enhanced by repetitive quantum error correction
- Suppression of crosstalk in superconducting qubits using dynamical decoupling
- Dynamical decoupling for superconducting qubits: a performance survey
- High fidelity quantum gates via dynamical decoupling
- Qubit noise spectroscopy for non-Gaussian dephasing environments
- Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling
- Universal simulation of Hamiltonian dynamics for qudits
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Combining dynamical decoupling with fault-tolerant quantum computation
- Near-optimal dynamical decoupling of a qubit
- Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
- Efficient Refocussing of One Spin and Two Spin Interactions for NMR Quantum Computation
- Efficient Long-Range Entanglement using Dynamic Circuits
- Protection of quantum systems by nested dynamical decoupling
- Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
- Quantum Crosstalk Robust Quantum Control
- Demonstration of algorithmic quantum speedup
- Suppression of arbitrary internal coupling in a quantum register
- Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
- Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
- Rigorous Bounds for Optimal Dynamical Decoupling
- Optimally combining dynamical decoupling and quantum error correction
- Optimized Dynamical Decoupling via Genetic Algorithms
- Equivalence of Decoupling Schemes and Orthogonal Arrays
- Quantum Computing in the Presence of Detected Spontaneous Emission
- Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing
- Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits
- Efficient decoupling schemes with bounded controls based on Eulerian orthogonal arrays
- Modeling low- and high-frequency noise in transmon qubits with resource-efficient measurement
- Benchmarking quantum gates and circuits
- Dynamically Generated Decoherence-Free Subspaces and Subsystems on Superconducting Qubits
- Rigorous Performance Bounds for Quadratic and Nested Dynamical Decoupling
- Universality proof and analysis of generalized nested Uhrig dynamical decoupling
- Characterizing Coherent Errors using Matrix-Element Amplification
- Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
- Improved bounded-strength decoupling schemes for local Hamiltonians