Symmetric Quantum Circuits | Qiskit Seminar Series with Iman Marvian скачать в хорошем качестве

Symmetric Quantum Circuits | Qiskit Seminar Series with Iman Marvian

Qiskit Seminar Series with Iman Marvian Symmetric Quantum Circuits: How, in the presence of symmetry, locality restricts realizable unitaries Your formal invite to weekly Qiskit videos ► https://ibm.biz/q-subscribe Speaker: Iman Marvian Host: Zlatko Minev, PhD. Abstract: According to a fundamental result in quantum computing, any unitary transformation on a composite system can be generated using so-called 2-local unitaries that act only on two subsystems. Beyond its importance in quantum computing, this result can also be regarded as a statement about the dynamics of systems with local Hamiltonians: although locality puts various constraints on the short-term dynamics, it does not restrict the possible unitary evolutions that a composite system with a general local Hamiltonian can experience after a sufficiently long time. In this talk, I show that this universality does not hold in the presence of conservation laws and global continuous symmetries: generic symmetric unitaries on a composite system cannot be implemented, even approximately, using local symmetric unitaries on the subsystems. I also argue that in some cases this no-go theorem can be circumvented using ancilla qubits. For instance, any rotationally-invariant unitary on qubits can be realized using the Heisenberg exchange interaction, which is 2-local and rotationally-invariant, provided that the qubits in the system interact with a pair of ancilla qubits. Bio: Iman Marvian is an assistant professor in the departments of Physics and Electrical & Computer Engineering at Duke University. He received his Ph.D. in Physics in 2012 at the University of Waterloo and Perimeter Institute for Theoretical Physics in Waterloo, Canada. Before moving to Duke, he worked as a postdoctoral researcher at the University of Southern California and MIT. Marvian has a broad research interest in quantum information and computation theory. He has worked on topics, such as quantum circuits, quantum algorithms, quantum resource theories and quantum thermodynamics, symmetry-protected topological order, quantum error suppression, and open quantum systems.