0:00:03welcome to the meeting abstract about the riemann zeta function which the gesture and intimate
0:00:09relation between entanglement in quantum physics and analytical continuation in mathematics
0:00:15i am connie f i love from the institute of quantum physics one university
0:00:20the dedicated representation of the riemann zeta function you shown by absolute value will use
0:00:27them both time evolution of a quantum state
0:00:31therefore we propose a measurement of the theatre function by the overlap over time you
0:00:36want quantum state with an appropriately chosen reference state
0:00:41for the directly representation itself this is to prepare a single mode of the cavity
0:00:46if you with a certain probability and pitch you
0:00:50which may make nested have fine
0:00:53that the function of the initial state is in the form of a wage with
0:00:58the dominant positive value research oriented along the x-axis
0:01:03that create a and curves for increasing time since each part of a function propagates
0:01:09the its own velocity
0:01:12the overlap between the initial and that i mean what state shown in the right
0:01:16bottom picture guess and the values of consider function defined by the t i case
0:01:23unfortunately the convergence of the some as well as the normalisation of the quantum states
0:01:30take place only in the reach of the complex gain whereas the much larger than
0:01:35one
0:01:36in mathematics to overcome the ball at it may equals one indicated by the red
0:01:42frame to playing we can employ the analytical continuation policy to function
0:01:49in physics we found that an entangled states could tell us to go beyond the
0:01:53small
0:01:54it consists of a syllable position of to counter rotating feel state color to the
0:02:00excited and grounds that the two level at
0:02:05the a lot of disentangle state with an appropriately chosen reference state results in the
0:02:12approximation of the seed have found given by the agreement secret formula
0:02:18in this you extract you show only the overlap of the two states for you
0:02:22met equals one how to the of the flavour of the face this representation of
0:02:27the zeta function on the critical i
0:02:30that's critical line is not only special in mathematics because it is the conjecture location
0:02:36of the nontrivial zeros but also in physics since the marks of the values for
0:02:41which the reference data is not entangled
0:02:46more details on the structure of the required states
0:02:49their faith based representations and the connected to the riemann zeta function are presented our
0:02:55paper
0:02:57enjoy your reading