Space-time tradeoff in networked virtual distillation
arXiv:2503.19245 · doi:10.1103/t828-wvgl
Abstract
In contrast to monolithic devices, modular, networked quantum architectures are based on interconnecting smaller quantum hardware nodes using quantum communication links, and offer a promising approach to scalability. Virtual distillation (VD) is a technique that can, under ideal conditions, suppress errors exponentially as the number of quantum state copies increases. However, additional gate operations required for VD introduce further errors, which may limit its practical effectiveness. In this work, we analyse three practical implementations of VD that correspond to edge cases that maximise space-time tradeoffs. Specifically, we consider an implementation that minimises the number of qubits but introduces significantly deeper quantum circuits, and contrast it with implementations that parallelise the preparation of copies using additional qubits, including a constant-depth implementation. We rigorously characterise their circuit depth and gate count requirements, and develop explicit architectures for implementing them in networked quantum systems -- while also detailing implementations in early fault-tolerant quantum architectures. We numerically compare the performance of the three implementations under realistic noise characteristics of networked ion trap systems and conclude the following. Firstly, VD effectively suppresses errors even for very noisy states. Secondly, the constant-depth implementation consistently outperforms the implementation that minimises the number of qubits. Finally, the approach is highly robust to errors in remote entangling operations, with noise in local gates being the main limiting factor to its performance.
19 pages, 13 figures
References in corpus (51)
- Variational Quantum Algorithms
- Noisy intermediate-scale quantum (NISQ) algorithms
- Many-body localization edge in the random-field Heisenberg chain
- High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
- High-fidelity quantum logic gates using trapped-ion hyperfine qubits
- Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
- Quantum Error Mitigation
- Efficient Z-Gates for Quantum Computing
- Toward the first quantum simulation with quantum speedup
- A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits
- High-Fidelity Universal Gate Set for Be Ion Qubits
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- Characterizing Quantum Gates via Randomized Benchmarking
- Long-lived qubit memory using atomic ions
- A random compiler for fast Hamiltonian simulation
- Distributed Quantum Computation Based-on Small Quantum Registers
- High-rate, high-fidelity entanglement of qubits across an elementary quantum network
- Single-qubit quantum memory exceeding -minute coherence time
- Fast quantum logic gates with trapped-ion qubits
- QuEST and High Performance Simulation of Quantum Computers
- Learning the quantum algorithm for state overlap
- Quantum circuits of T-depth one
- Topological quantum computing with a very noisy network and local error rates approaching one percent
- Distributed Quantum Computing: a Survey
- Entanglement of trapped-ion qubits separated by 230 meters
- The SWAP test and the Hong-Ou-Mandel effect are equivalent
- Distributed Quantum Computing across an Optical Network Link
- Exponential Error Suppression for Near-Term Quantum Devices
- Quantum error mitigation as a universal error-minimization technique: applications from NISQ to FTQC eras
- Ion trap quantum gates with amplitude-modulated laser beams
- Entanglement purification for Quantum Computation
- Towards a deterministic interface between trapped-ion qubits and travelling photons
- High-fidelity Two-qubit Gates Using a MEMS-based Beam Steering System for Individual Qubit Addressing
- Generalized quantum subspace expansion
- Experimentally scalable protocol for identification of correctable codes
- Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels
- Mitigating Coherent Noise Using Pauli Conjugation
- Dual-state purification for practical quantum error mitigation
- QuESTlink -- Mathematica embiggened by a hardware-optimised quantum emulator
- Partially Fault-tolerant Quantum Computing Architecture with Error-corrected Clifford Gates and Space-time Efficient Analog Rotations
- High-fidelity remote entanglement of trapped atoms mediated by time-bin photons
- Shorter quantum circuits via single-qubit gate approximation
- Probing Qubit Memory Errors at the Part-per-Million Level
- Multivariate trace estimation in constant quantum depth
- Probabilistic Interpolation of Quantum Rotation Angles
- Localized Virtual Purification
- Unified multivariate trace estimation and quantum error mitigation
- Sparse Probabilistic Synthesis of Quantum Operations
- TE-PAI: Exact Time Evolution by Sampling Random Circuits
- Improving trapped-ion-qubit memories via code-mediated error-channel balancing
- Resource-efficient Generalized Quantum Subspace Expansion