- #1
Heidi
- 411
- 40
Hi Pf
I do not know if it is only an analogy but i consider these two correspondences:
I) the transformation of a quantum spin into a statistical problem by a Wick rotation.
we start with a qubit evolving in time between 0 and t from S0 to St. we use a exp(iHt) operator to describe its evolution. we can use a Wick rotation to map each Feynman path to [0 t] on the x line such than the amplitudes are transformed in probabilities exp(-H).
Here we hace a correspondance between a 0 dimension system evolving in time to a 1 dimension statistical system.
In the statistical system the interferences have disapeared but the notion of temperature appears.
II) in the Ads/cft formalism we have a 2 dimensional quantum system without
gravity and we consider the 3 dimension bulk in which gravity appears.
I wonder if in the point of view of information it is only an analogy.
I do not know if it is only an analogy but i consider these two correspondences:
I) the transformation of a quantum spin into a statistical problem by a Wick rotation.
we start with a qubit evolving in time between 0 and t from S0 to St. we use a exp(iHt) operator to describe its evolution. we can use a Wick rotation to map each Feynman path to [0 t] on the x line such than the amplitudes are transformed in probabilities exp(-H).
Here we hace a correspondance between a 0 dimension system evolving in time to a 1 dimension statistical system.
In the statistical system the interferences have disapeared but the notion of temperature appears.
II) in the Ads/cft formalism we have a 2 dimensional quantum system without
gravity and we consider the 3 dimension bulk in which gravity appears.
I wonder if in the point of view of information it is only an analogy.