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Tuesday, April 23, 2024 3:00 pm - 4:00 pm EDT (GMT -04:00)

Quantum Polynomial Hierarchies: Karp-Lipton and Lower Bounds

CS/Math Seminar - Avantika Agarwal IQC

Quantum-Nano Centre, 200 University Ave West, Room QNC 1201 + ZOOM Waterloo, ON CA N2L 3G1

The Polynomial-Time Hierarchy (PH) is a staple of classical complexity theory, with applications spanning randomized computation to circuit lower bounds to ''quantum advantage'' analyses for near-term quantum computers. Quantumly, however, even though at least four definitions of quantum PH exist, it has been challenging to prove analogues for these or even basic facts from PH. This work studies three quantum-verifier based generalizations of PH, two of which are from [Gharibian, Santha, Sikora, Sundaram, Yirka, 2022] and use classical strings (QCPH) and quantum mixed states (QPH) as proofs, and one of which is new to this work, utilizing quantum pure states (pureQPH) as proofs. We first talk about solutions to open problems from GSSSY22 which include a collapse theorem for QCPH and a quantum-classical Karp-Lipton. We then talk about our results for pureQPH, including lower bounds relating QCPH to pureQPH, and finally discuss some interesting open problems related to QCPH. This talk is based on https://arxiv.org/abs/2401.01633, a joint work with Sevag Gharibian, Venkata Koppula and Dorian Rudolph.

Tuesday, May 14, 2024 - Thursday, May 16, 2024 (all day)

ETSI/IQC Quantum Safe Cryptography Conference 2024

ETSI and the Institute for Quantum Computing are pleased to announce the 10th ETSI/IQC Quantum Safe Cryptography Conference, taking place in Singapore on May 14-16, 2024. The event will be hosted by the Centre for Quantum Technologies, National University of Singapore.

This event was designed for members of the business, government, and research communities with a stake in cryptographic standardization to facilitate the knowledge exchange and collaboration required to transition cyber infrastructures and business practices to make them safe in an era with quantum computers. It aims to showcase both the most recent developments from industry and government and cutting-edge potential solutions coming out of the most recent research.