Decomposition of pure states of quantum register

I. Raptis, P. Wallden, R. R. Zapatrin

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)185-188
Number of pages4
JournalEuropean physical journal d
Issue number1
Publication statusPublished - 2007


  • 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
  • 31.40.+d Multiparty entanglement distribution


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