Coupling of quantum logics

Sylvia Pulmannová

A quantum logic is the couple (L,M) where L is an orthomodular σ-lattice and M is a strong set of states on L. The Jauch–Piron property in the σ-form is also supposed for any state of M. A ‘‘tensor product’’ of quantum logics is defined. This definition is compared with the definition of a free orthodistributive product of orthomodular σ-lattices. The existence and uniqueness of the tensor product in special cases of Hilbert space quantum logics and one quantum and one classical logic are studied.

María Luisa Dalla Chiara, Roberto Giuntini

Richard J. Greechie, Stanley Gudder

Guangya Zhou, X. Sang, Jiahao Yuan +4 more

Quantum logic gates are basic blocks to construct quantum computing and quantum information processing systems. Quantum logic gates based on coupled-resonator optical waveguide (CROW) are analyzed with the advantage of integration with other devices. Photonic crystal CROW (PhC CROW) structure with different dimension and background medium exhibits electromagnetically induced transparency (EIT), which is used as single quantum bit (qubit) phase gate. Quantum Hadamard gate can also be realized by coupling element. Two qubit conditional quantum phase gate is achieved by concatenating two Hadamard gates and a phase gate doped with dopant. The simplicity and dynamic tunability of the device…

Hamlet Karayan, A.G. Chibukhchyan

The possibility of realization of unary and binary quantum logic operations in a system with coherently correlated Kerr cells taking into account the dissipation was considered and established. The time characteristics of the system for realization of quantum logic operations were studied.

Richard J. Greechie, Stanley Gudder