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Seminar details

Name Quantum Information and Quantum Computing working group
Title Models of quantum complexity growth
Details

Abstract:

The quantum complexity of a unitary or state is defined as the size of the shortest quantum computation that implements the unitary or prepares the state. The notion has far-reaching implications spanning computer science, quantum many-body physics, and high energy theory. Complexity growth in time is a phenomenon expected to occur in holographic theories and strongly-interacting many-body systems more generally, but deriving lower bounds on the complexity of a state or unitary is notoriously difficult. By establishing a rigorous relation between quantum complexity and unitary designs, ensembles which emulate fully Haar random unitaries, we will prove statements about complexity growth in various models. Specifically, we prove a linear growth of complexity in random quantum circuits, using a recent result about their design growth.

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Zoom meeting details

Topic: Quantum Information and Quantum Computing Working Group

Time: Apr 16, 2020, 04:00 PM Warsaw

Join Zoom Meeting:
QIQCWG-ZOOM

Meeting ID: 640 279 690
Password: tp4C,;kERx

If you encounter any problems with connecting to the Zoom meeting, please email filip.b.maciejewski@gmail.com directly.

Time Thursday, 16 April 2020, at 16:00 CEST The seminar was held!
Speaker

Dr Nick Hunter-Jones  (Perimeter Institute)

Seminar Language English
Organisers Michał Oszmaniec; Filip Maciejewski;