Non-classical conditional probability and the quantum no-cloning theorem

Abstract

The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quantum logics with a conditional probability calculus in a rather abstract, though simple and basic fashion without relying on a tensor product construction or finite dimension as required in other generalizations.

6 pages

References in corpus (5)

• Characterizing quantum theory in terms of information-theoretic constraints
• A generalized no-broadcasting theorem
• Non-Boolean probabilities and quantum measurement
• No-Cloning Theorem on Quantum Logics
• Imperfect cloning operations in algebraic quantum theory

Cited by in corpus (2)

• Quantum key distribution without the wavefunction
• Quantum teleportation and Grover's algorithm without the wavefunction