Benchmarking quantum control methods on a 12-qubit system
arXiv:quant-ph/0603248 · doi:10.1103/PhysRevLett.96.170501
Abstract
In this letter, we present an experimental benchmark of operational control methods in quantum information processors extended up to 12 qubits. We implement universal control of this large Hilbert space using two complementary approaches and discuss their accuracy and scalability. Despite decoherence, we were able to reach a 12-coherence state (or 12-qubits pseudo-pure cat state), and decode it into an 11 qubit plus one qutrit labeled observable pseudo-pure state using liquid state nuclear magnetic resonance quantum information processors.
11 pages, 4 figures, to be published in PRL
References in corpus (11)
- Elementary gates for quantum computation
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- Time Optimal Control in Spin Systems
- Experimental Quantum Error Correction
- Fault-Tolerant Error Correction with Efficient Quantum Codes
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- Implementation of the Five Qubit Error Correction Benchmark
- Quantum Process Tomography of the Quantum Fourier Transform
- Robust Control of Quantum Information
- Robust Ising Gates for Practical Quantum Computation
- Compiling gate networks on an Ising quantum computer
Cited by in corpus (95)
- Quantum Computing
- The Variational Quantum Eigensolver: a review of methods and best practices
- Natural and artificial atoms for quantum computation
- Optimal, reliable estimation of quantum states
- Synthesis and Optimization of Reversible Circuits - A Survey
- Symmetrised Characterisation of Noisy Quantum Processes
- Quantum Computing with NMR
- Techniques for the Synthesis of Reversible Toffoli Networks
- System Design for a Long-Line Quantum Repeater
- Entanglement in a Solid State Spin Ensemble
- Boosting computational power through spatial multiplexing in quantum reservoir computing
- Liquid State NMR as a Test-bed for Developing Quantum Control Methods
- Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond
- Reversible Circuit Synthesis Using a Cycle-Based Approach
- Noisy intermediate-scale quantum computers
- Quantum Circuit Placement
- A Study of Optimal 4-bit Reversible Toffoli Circuits and Their Synthesis
- Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
- Full reconstruction of a 14-qubit state within four hours
- A scheme for demonstration of fractional statistics of anyons in an exactly solvable model
- Nonclassical correlation in NMR quadrupolar systems
- Global optimization of quantum dynamics with AlphaZero deep exploration
- A spin based heat engine: demonstration of multiple rounds of algorithmic cooling
- Linear Depth Stabilizer and Quantum Fourier Transformation Circuits with no Auxiliary Qubits in Finite Neighbor Quantum Architectures
- Magnetic field sensors using 13-spin cat states
- Benchmarking quantum computers
- A Library-Based Synthesis Methodology for Reversible Logic
- Digital Quantum Simulation of the Statistical Mechanics of a Frustrated Magnet
- Quantum parallelism as a tool for ensemble spin dynamics calculations
- Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
- Experimental realization of post-selected weak measurements on an NMR quantum processor
- Using error correction to determine the noise model
- Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
- Semi-optimal Practicable Algorithmic Cooling
- NMR Analog of Bell's Inequalities Violation Test
- Experimental realization of the Yang-Baxter Equation via NMR interferometry
- Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
- Economical (k,m)-threshold controlled quantum teleportation
- Hyperfine spin qubits in irradiated malonic acid: heat-bath algorithmic cooling
- Optimal experiment design for quantum state tomography
- Entanglement and deterministic quantum computing with one qubit
- Preparation of multiphoton high-dimensional GHZ state
- Quantum controlled phase gate and cluster states generation via two superconducting quantum interference devices in a cavity
- Minimum-Time Selective Control of Homonuclear Spins
- Simulation of mirror inversion of quantum states in an XY spin chain using NMR
- Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor
- Subtraction better than addition: Entanglement in multimode squeezed vacuum post-interface with photons
- Experimental Implementation of Logical Bell State Encoding
- Fundamental Speed Limits on Quantum Coherence and Correlation Decay
- Projective measurement in nuclear magnetic resonance
- Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
- Strong Algorithmic Cooling in Large Star-Topology Quantum Registers
- Experimentally superposing two pure states with partial prior knowledge
- Optimal Quench for Distance-Independent Entanglement and Maximal Block Entropy
- Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
- Efficiency Optimization in Quantum Computing: Balancing Thermodynamics and Computational Performance
- Estimating localizable entanglement from witnesses
- Designing Robust Quantum Refrigerators in Disordered Spin Models
- Scalable characterization of localizable entanglement in noisy topological quantum codes
- Deterministic Quantum Dense Coding Networks
- Randomized benchmarking of quantum gates implemented by electron spin resonance
- Scale-invariant freezing of entanglement
- Controlling NMR spin systems for quantum computation
- One-shot conclusive multiport quantum dense coding capacities
- Fast Reconstruction of High-qubit Quantum States via Low Rate Measurements
- Compilation of selective pulse network on liquid-state nuclear magnetic resonance system
- Low-temperature environments for quantum computation and quantum simulation
- Dynamics of Entanglement and Nonclassical Correlation for Four-Qubit GHZ State
- Effective quantum state reconstruction using compressive sensing in NMR quantum computing
- Microscopic control of Si nuclear spins near phosphorus donors in silicon
- Writing electronic ferromagnetic states in a high-temperature paramagnetic nuclear spin system
- Characteristics and benchmarks of entanglement of mixed states -- the two qubit case
- Subsystem Pseudo-pure States
- Experimental Implementation of Projective Measurement in Bell Basis
- Landau levels and shallow donor states in GaAs/AlGaAs multiple quantum wells at mega-gauss magnetic fields
- Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
- Discrimination of unitary transformations in the Deutsch-Jozsa algorithm
- Localizing genuine multiparty entanglement in noisy stabilizer states
- Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
- Optimal Bounds on State Transfer Under Quantum Channels with Application to Spin System Engineering
- Distribution of entanglement with variable range interactions
- Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
- Optimal and robust experiment design for quantum state tomography of star-topology register
- Quantum Gates Between Mesoscopic Spin Ensembles
- Integrated photonic 3D waveguide arrays for quantum random walks on a circle
- Resurrection of Schrodinger Cat
- Nuclear Spins as Quantum Testbeds: Singlet States, Quantum Correlations, and Delayed-choice Experiments
- Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches
- Attainable entanglement of unitary transformed thermal states in liquid-state nuclear magnetic resonance with the chemical shift
- Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations
- Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
- Measurement-based cooling of many-body quantum systems
- Synthesis of the Optimal 4-bit Reversible Circuits
- Structure-Based Super-Resolution Recovery of Three-Photon Quantum States from Two-Fold Coincidences
- Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems