Entropic Uncertainty for Biased Measurements
- URL: http://arxiv.org/abs/2305.09753v1
- Date: Tue, 16 May 2023 19:01:16 GMT
- Title: Entropic Uncertainty for Biased Measurements
- Authors: Walter O. Krawec
- Abstract summary: We derive a new entropic uncertainty relation for certain quantum states and for instances where the two measurement bases are no longer mutually unbiased.
We show that our new bound can produce higher key-rates under several scenarios when compared with prior work using standard entropic uncertainty relations.
- Score: 1.827510863075184
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entropic uncertainty relations are powerful tools, especially in quantum
cryptography. They typically bound the amount of uncertainty a third-party
adversary may hold on a measurement outcome as a result of the measurement
overlap. However, when the two measurement bases are biased towards one
another, standard entropic uncertainty relations do not always provide optimal
lower bounds on the entropy. Here, we derive a new entropic uncertainty
relation, for certain quantum states and for instances where the two
measurement bases are no longer mutually unbiased. We evaluate our bound on two
different quantum cryptographic protocols, including BB84 with faulty/biased
measurement devices, and show that our new bound can produce higher key-rates
under several scenarios when compared with prior work using standard entropic
uncertainty relations.
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