Abstract Models of nonlinear quantum computation based on deterministic positive trace‐
preserving (PTP) channels and evolution equations are investigated. The models are …

Quantitative characterization of two-qubit entanglement purification protocols is introduced.
Our approach is based on the concurrence and the hit-and-run algorithm applied to the …

We present optimized distillation schemes for preparing Greenberger-Horne-Zeilinger (GHZ)
states. Our approach relies on training variational quantum circuits with white noise affected …

We consider a quantum system dynamics caused by successive selective and nonselective
measurements of the probe coupled to the system. For the finite measurement rate τ− 1 and …

The Lindblad equation describes the dissipative time evolution of a density matrix that
characterizes an open quantum system in contact with its environment. The widespread …

State selective protocols, like entanglement purification, lead to an essentially non-linear
quantum evolution, unusual in naturally occurring quantum processes. Sensitivity to initial …

One of the simplest possible quantum circuits, consisting of a cnot gate, a Hadamard gate,
and a measurement on one of the outputs is known to lead to chaotic dynamics when …

The ability of preparing perfect Bell pairs with a practical scheme is of great relevance for
quantum communication as well as distributed quantum computing. We propose a scheme …

We consider the task of deciding whether an unknown qubit state falls in a prescribed
neighborhood of a reference state. We assume that several copies of the unknown state are …

Nonlinear quantum transformations play an important role in quantum state distillation,
aiding quantum communication schemes. The simplest of these involve quadratic rational …