Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
arXiv:1209.2764 · doi:10.1103/PhysRevLett.110.070503
Abstract
We construct a universal set of high fidelity quantum gates to be used on a sparse bipartite lattice with always-on Ising couplings. The gates are based on dynamical decoupling sequences using shaped pulses, they protect against low-frequency phase noise, and can be run in parallel on non-neighboring qubits. This makes them suitable for implementing quantum error correction with low-density parity check codes like the surface codes and their finite-rate generalizations. We illustrate the construction by simulating quantum Zeno effect with the toric code on a spin chain.
References in corpus (41)
- Fault-tolerant quantum computation by anyons
- Mixed State Entanglement and Quantum Error Correction
- Elementary gates for quantum computation
- Topological quantum memory
- Coupling Superconducting Qubits via a Cavity Bus
- NMR Techniques for Quantum Control and Computation
- Two-Bit Gates are Universal for Quantum Computation
- Resolving photon number states in a superconducting circuit
- Fault-tolerant quantum computation with high threshold in two dimensions
- Stabilizer Codes and Quantum Error Correction
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Fault-Tolerant Quantum Dynamical Decoupling
- Quantum Zeno subspaces
- Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
- Sparse Graph Codes for Quantum Error-Correction
- Overhead and noise threshold of fault-tolerant quantum error correction
- Codes for the Quantum Erasure Channel
- Universal Control of Decoupled Quantum Systems
- An approximate Fourier transform useful in quantum factoring
- Robust dynamical decoupling with bounded controls
- Robust dynamical decoupling for quantum computing and quantum memory
- Dynamically Error-Corrected Gates for Universal Quantum Computation
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- A Universal Two--Bit Gate for Quantum Computation
- Single-spin magnetometry with multi-pulse sensing sequences
- Arbitrarily Accurate Dynamical Control in Open Quantum Systems
- Efficient Refocussing of One Spin and Two Spin Interactions for NMR Quantum Computation
- Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
- On Quantum Control via Encoded Dynamical Decoupling
- Quantum Logic Gates and Nuclear Magnetic Resonance Pulse Sequences
- Zeno dynamics yields ordinary constraints
- Expressing the operations of quantum computing in multiparticle geometric algebra
- Quantum Error Correction on Linear Nearest Neighbor Qubit Arrays
- Suppression of arbitrary internal coupling in a quantum register
- Optimization of Short Coherent Control Pulses
- Improved quantum hypergraph-product LDPC codes
- Multi-qubit compensation sequences
- Scalable design of tailored soft pulses for coherent control
- Soft-pulse dynamical decoupling in a cavity
- Implementing Shor's algorithm on Josephson Charge Qubits
- Second-order shaped pulses for solid-state quantum computation
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- OpenQASM 3: A broader and deeper quantum assembly language
- Quantum "hyperbicycle" low-density parity check codes with finite rate
- Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
- Strategy for implementing stabilizer-based codes on solid-state qubits
- Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
- Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
- Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity
- Excitation spectrum as a resource for efficient two-qubit entangling gates
- Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
- Pulse-controlled quantum gate sequences on a strongly coupled qubit chain