Relations between cloning and the universal NOT derived from conservation laws.
We discuss certain relations between cloning and the not operation that can be derived from conservation laws alone. Those relations link the limitations on cloning and the not operation possibly imposed by other laws of nature. Our result is quite general and holds both in classical and quantum-mechanical worlds, for both optimal and suboptimal operations, and for bosons as well as fermions.
van Enk
S J
SJ
Bell Labs, Lucent Technologies, 600-700 Mountain Ave, Murray Hill, New Jersey 07974, USA.