QUANTUM PHASE LOCKING, 1/f NOISE AND ENTANGLEMENT

摘要

We develop a new approach of the quantum phase in an Hilbert space of finite dimension which is based on the relation between the physical concept of phase locking and mathematical concepts such as cyclotomy and the Ramanujan sums. As a result phase variability looks quite similar to its classical counterpart, having peaks at dimensions equal to a power of a prime number. Squeezing of that noise is allowed for specific quantum states. The concept of phase entanglement for pairs of phase-locked states is introduced.