Non-linear operations in quantum information theory
arXiv:quant-ph/9811036 · doi:10.1103/PhysRevA.59.3320
Abstract
Quantum information theory is used to analize various non-linear operations on quantum states. The universal disentanglement machine is shown to be impossible, and partial (negative) results are obtained in the state-dependent case. The efficiency of the transformation of non-orthogonal states into orthogonal ones is discussed.
11 pages, LaTeX, 3 figures on separate pages
References in corpus (2)
Cited by in corpus (34)
- Persistent entanglement in arrays of interacting particles
- Physical accessibility of non-completely positive maps
- How the no-cloning theorem got its name
- Vanishing quantum discord is not necessary for completely-positive maps
- Two qubits entanglement dynamics in a symmetry-broken environment
- Fast quantum state discrimination with nonlinear PTP channels
- Speed limits in Liouville space for open quantum systems
- Complex chaos in the conditional dynamics of qubits
- Correlation Picture Approach to Open-Quantum-System Dynamics
- Measurement induced chaos with entangled states
- Sufficient conditions for a disentanglement
- Localization of relativistic particles and uncertainty relations
- Quantum state matching of qubits via measurement-induced nonlinear transformations
- Informal Resource Letter - Nonlinear quantum mechanics on arXiv up to August 2004
- Replicating the benefits of closed timelike curves without breaking causality
- The information recovery problem
- The Quantum Cocktail Party
- Erasable and unerasable correlations
- Entanglement distribution by an arbitrarily inept delivery service
- Optimal Universal Disentangling Machine for Two Qubit Quantum States
- Phase Transition in Iterated Quantum Protocols for Noisy Inputs
- Nonlinear Qubit Transformations
- Nonlinear and non-CP gates for Bloch vector amplification
- Quantum state decorrelation
- Competition between decoherence and purification: quaternionic representation and quaternionic fractals
- Quantum disentanglers
- Learning quantum phases via single-qubit disentanglement
- Impossibility of creating a superposition of unknown quantum states
- Preparations and Weak Quantum Control can Witness non-Markovianity
- Conditions for a quadratic quantum speedup in nonlinear transforms with applications to energy contract pricing
- Realization of Optimal Disentanglement by Teleportation via Separable Channel
- A Fast fixed-point Quantum Search Algorithm by using Disentanglement and Measurement
- Matrix logistic map: fractal spectral distributions and transfer of chaos
- Paradigms for Quantum Feedback Control