The no cloning theorem prevents an interpretation of the holographic principle for black holes as meaning that there are two copies of information, one lying at the event horizon and the other in the black hole interior.

This would allow Alice and Bob to communicate classical bits between each other (possibly across space-like separations, violating causality). No-cloning theorem In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement which has profound implications in the field of quantum computing among others. Suppose the state of a quantum system A, which we wish to copy, is | ψ ⟩ A with equal probability.

2.1 Mixed states and nonunitary operations.

This formulation, known as categorical quantum mechanics, allows, in turn, a connection to be made from quantum mechanics to linear logic as the logic of quantum information theory (in the same sense that classical logic) arises from Cartesian closed categories.

Together, these underpin the interpretation of quantum mechanics in terms of category theory, and, in particular, as a dagger compact category. The no-cloning theorem has a time-reversed dual, the no-deleting theorem. For example, given basis states 1, 2, 3, there is a unitary transform that transforms each i 0 to i i. Hiowever some unitary transforms can clone a subset of pure quantum states. The no-cloning theorem is normally stated and proven for pure states the no-broadcast theorem generalizes this result to mixed states. The no-cloning theorem states that every unitary transform cannot clone an arbitrary quantum state. Cloning is a process whose result is a separable state with identical factors.Īccording to Asher Peres and David Kaiser, the publication of the no-cloning theorem was prompted by a proposal of Nick Herbert for a superluminal communication device using quantum entanglement.

No well-defined state can be attributed to a subsystem of an entangled state. that occurs in quantum computing and clone transformation gate (CG). For instance, one can use the controlled NOT gate and the Walsh–Hadamard gate to entangle two qubits. No-Cloning states that it is not possible to copy an arbitrary state onto another. The state of one system can be entangled with the state of another system. It was stated by Wootters and Zurek and Dieks in 1982, and has profound implications in quantum computing and related fields. In physics, the no-cloning theorem is a no-go theorem of quantum mechanics that forbids the creation of identical copies of an arbitrary unknown quantum state.

No clone theorem