Decomposition of pure states of quantum register
- First Online:
- 36 Downloads
The generalization of Schmidt decomposition due to Cartelet-Higuchi-Sudbery applied to quantum register (a system of N qubits) is shown to acquire direct geometrical meaning: any pure state is canonically associated with a chain of a simplicial complex. A leading vector method is presented to calculate the values of the coefficients of appropriate chain.
PACS.03.67.-a Quantum information 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 03.65.Fd Algebraic methods
QICS31.40.+d Multiparty entanglement distribution
Unable to display preview. Download preview PDF.