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J. Math. Phys. 26, 1 (1985); http://dx.doi.org/10.1063/1.526784 (5 pages)
Tensor product of quantum logics
(Received 23 March 1983; accepted 11 May 1984)
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Add to FacebookA 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.
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