Exact Results in Quantum Theory & Gravity
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2022-03-18 (14:15) 
Bilal Cantürk (Sabanci University)
Generalizing the quantification of information
A statistical approach to the second law of thermodynamics leads to an expression in terms of probabilities (Boltzmann-Gibbs-Shannon entropy). On the other hand, a rational approach to the quantification of information led Shannon to form a function, which is formally equal to entropy up to the constant factor. From these two facts, a deep question forced itself to the mind of science: What is the relationship between information and energy? This question can be implicitly divided into two questions:
1) What is the general quantification of information?
2) What is the general relationship between information and energy?
I will present a survey of the first question and some links to the second question in the scope of the quantum measurements that are provided by mutually unbiased bases (MUBs) (Wootters & Fields, 1989) and symmetric informationally complete positive operator-valued measures (SIC-POVMs) (Renes et al., 2004).
1) What is the general quantification of information?
2) What is the general relationship between information and energy?
I will present a survey of the first question and some links to the second question in the scope of the quantum measurements that are provided by mutually unbiased bases (MUBs) (Wootters & Fields, 1989) and symmetric informationally complete positive operator-valued measures (SIC-POVMs) (Renes et al., 2004).
https://us02web.zoom.us/j/82750263552?pwd=ZXB6dktLVlg3VDM3N2UwWnYzMnRrZz09
Meeting ID: 827 5026 3552
Passcode: 006674
Meeting ID: 827 5026 3552
Passcode: 006674