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Dynamical Decoupling of Open Quantum Systems
We propose a novel dynamical method for beating decoherence and dissipation in open quantum systems. We demonstrate the possibility of filtering out the effects of unwanted (not necessarily known)…
DYNAMICAL SUPPRESSION OF DECOHERENCE IN TWO-STATE QUANTUM SYSTEMS
The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip…
NMR Based Quantum Information Processing: Achievements and Prospects
Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic background for understanding…
Information-preserving structures: A general framework for quantum zero-error information
An operational framework, using information-preserving structures, to classify all the kinds of information that can be perfectly preserved by quantum dynamics, and proves that every perfectly preserved code has the same structure as a matrix algebra, and that preserved information can always be corrected.
Robust dynamical decoupling of quantum systems with bounded controls.
Eulerian decoupling schemes offer two important advantages over their impulsive counterparts: they are able to enforce the same dynamical symmetrization but with more realistic control resources and they are intrinsically tolerant against a large class of systematic implementation errors.
Dynamically error-corrected gates for universal quantum computation.
This work proposes a general constructive procedure for designing robust unitary gates on an open quantum system without encoding or measurement overhead and allows for a low-level error correction strategy solely based on Hamiltonian engineering using realistic bounded-strength controls.
Quantum Markovian Subsystems: Invariance, Attractivity, and Control
The stronger concept of an attractive quantum subsystem is introduced, and sufficient existence conditions are identified based on Lyapunov's stability techniques, and explicit results for the synthesis of stabilizing semigroups and noiseless subspaces in finite-dimensional Markovian systems are obtained.
Convergence rates for arbitrary statistical moments of random quantum circuits.
We consider a class of random quantum circuits where at each step a gate from a universal set is applied to a random pair of qubits, and determine how quickly averages of arbitrary finite-degree…
Analysis and synthesis of attractive quantum Markovian dynamics
A subsystem-independent generalization of entanglement.
- H. Barnum, E. Knill, Gerardo Rodríguez Ortíz, R. Somma, L. Viola
- Physics, Computer SciencePhysical review letters
- 5 May 2003
We present a generalization of entanglement based on the idea that entanglement is relative to a distinguished subspace of observables rather than a distinguished subsystem decomposition. A pure…