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Entanglement Observables and Witnesses for Interacting Quantum Spin Systems
L. -A. Wu, S. Bandyopadhyay, M. S. Sarandy +1
We discuss the detection of entanglement in interacting quantum spin systems. First, thermodynamic Hamiltonian-based witnesses are computed for a general class of one-dimensional s…
Encoding a qubit into multilevel subspaces
Matthew Grace, Constantin Brif, Herschel Rabitz +3
We present a formalism for encoding the logical basis of a qubit into subspaces of multiple physical levels. The need for this multilevel encoding arises naturally in situations wh…
Conditions for strictly purity-decreasing quantum Markovian dynamics
D. A. Lidar, A. Shabani, R. Alicki
The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It is well known that quantum dynamical semigroups that preserve the identity operator (which we refer to…
Stabilizing qubit coherence via tracking-control
Daniel A. Lidar, Sara Schneider
We consider the problem of stabilizing the coherence of a single qubit subject to Markovian decoherence, via the application of a control Hamiltonian, without any additional resour…
Universal Leakage Elimination
Mark S. Byrd, Daniel A. Lidar, Lian-Ao Wu +1
``Leakage'' errors are particularly serious errors which couple states within a code subspace to states outside of that subspace thus destroying the error protection benefit afford…
Robustness of multi-qubit entanglement in the independent decoherence model
Somshubhro Bandyopadhyay, Daniel A. Lidar
We study the robustness of the GHZ (or ``cat'') class of multi-partite states under decoherence. The noise model is described by a general completely positive map for qubits indepe…