Preparation of quantum states of two spin- particles in the form of the Schmidt decomposition

2014/04/01 by A. R. Kuzmak, V. M. Tkachuk
Computer Science · Physics and Astronomy · #Condensed matter physics #Hamiltonian (control theory) #Isotropy #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum system #Qubit #Spin (aerodynamics) #Spins #quant-ph

paper · pdf · doi:10.1016/j.physleta.2014.03.045

published as Physics Letters A 378, 1469 (2014) · accepted by Phys Lett A

openalex publication_date 2014/04/01 · arxiv created 2014/04/08 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a system of two spins that are coupled via an isotropic Heisenberg Hamiltonian. For the first time, a two-step method for the preparation of an arbitrary quantum state of two qubits in the form of the Schmidt decomposition is proposed. The simplified version of this method is applied to the physical system of an atom having with a nuclear spin 1/2 and one valence electron. As an example, the preparation of two-spin quantum states in the ³¹P system is considered.

Citations

• A single-atom electron spin qubit in silicon
• Room-Temperature Quantum Bit Storage Exceeding 39 Minutes Using Ionized Donors in Silicon-28
• Spin Echoes in the Charge Transport through Phosphorus Donors in Silicon
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