Nonlinear quantum state transformation of spin-1/2
arXiv:quant-ph/9708040 · doi:10.1016/S0375-9601(98)00189-3
Abstract
A non-linear quantum state transformation is presented. The transformation, which operates on pairs of spin-1/2, can be used to distinguish optimally between two non-orthogonal states. Similar transformations applied locally on each component of an entangled pair of spin-1/2 can be used to transform a mixed nonlocal state into a quasi-pure maximally entangled singlet state. In both cases the transformation makes use of the basic building block of the quantum computer, namely the quantum-XOR gate.
12 pages, LaTeX, amssym, epsfig (2 figures included)
References in corpus (3)
Cited by in corpus (22)
- An information-theoretic security proof for QKD protocols
- Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces
- Fast quantum state discrimination with nonlinear PTP channels
- Non-linear operations in quantum information theory
- Complex chaos in the conditional dynamics of qubits
- Measurement induced chaos with entangled states
- Exponential Sensitivity and its Cost in Quantum Physics
- Quantum state matching of qubits via measurement-induced nonlinear transformations
- Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme
- Informal Resource Letter - Nonlinear quantum mechanics on arXiv up to August 2004
- Experimental orthogonalization of highly overlapping quantum states with single photons
- Transition from order to chaos in reduced quantum dynamics
- Phase Transition in Iterated Quantum Protocols for Noisy Inputs
- Does quantum chaos exist? (A quantum Lyapunov exponents approach.)
- Complex chaos in conditional qubit dynamics and purification protocols
- Nonlinear and non-CP gates for Bloch vector amplification
- Competition between decoherence and purification: quaternionic representation and quaternionic fractals
- Matrix logistic map: fractal spectral distributions and transfer of chaos
- A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
- Paradigms for Quantum Feedback Control
- Bifurcation and chaos in nonlinear Lindblad equations
- The universe as a nonlinear quantum simulation: Large limit of the central spin model