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Existence of the Schmidt decomposition for tripartite systems
Arun K. Pati
For any bipartite quantum system the Schmidt decomposition allows us to express the state vector in terms of a single sum instead of double sums. We show the existence of the Schmi…
Probabilistic exact cloning and probabilistic no-signalling
Arun Kumar Pati
We show that non-local resources cannot be used for probabilistic signalling even if one can produce exact clones with the help of a probabilistic quantum cloning machine (PQCM). W…
Minimum cbits for remote preperation and measurement of a qubit
Arun K. Pati
We show that a qubit chosen from equatorial or polar great circles on a Bloch spehere can be remotely prepared with one cbit from Alice to Bob if they share one ebit of entanglemen…
"Assisted cloning'' and "orthogonal-complementing" of an unknown state
Arun Kumar Pati
We propose a protocol where one can exploit dual quantum and classical channels to achieve perfect ``cloning'' and ``orthogonal-complementing'' of an unknown state with a minimal a…
Quantum superposition of multiple clones and the novel cloning machine
Arun Kumar Pati
we envisage a novel quantum cloning machine, which takes an input state and produces an output state whose success branch can exist in a linear superposition of multiple copies of…
Uncertainty relation of Anandan-Aharonov and Intelligent states
Arun Kumar Pati
The quantum states which satisfy the equality in the generalised uncertainty relation are called intelligent states. We prove the existence of intelligent states for the Anandan-Ah…