7 papers
Irreducible multi-partite correlations as an order parameter for k-local nontrivial states
Yahya Alavirad, Ali Lavasani
Geometrically nontrivial quantum states can be defined as states that cannot be prepared by a constant depth geometrically local unitary circuit starting from a product state. Howe…
Universal logical gates with constant overhead: instantaneous Dehn twists for hyperbolic quantum codes
Ali Lavasani, Guanyu Zhu, Maissam Barkeshli
A basic question in the theory of fault-tolerant quantum computation is to understand the fundamental resource costs for performing a universal logical set of gates on encoded qubi…
Wiedemann-Franz law and Fermi liquids
Ali Lavasani, Daniel Bulmash, Sankar Das Sarma
We consider in depth the applicability of the Wiedemann-Franz (WF) law, namely that the electronic thermal conductivity () is proportional to the product of the absolute tempera…
Scrambling in the Dicke model
Yahya Alavirad, Ali Lavasani
The scrambling rate associated with the exponential growth of out-of-time-ordered correlators can be used to characterize quantum chaos. Here we use the Majorana Fermion repr…
Instantaneous braids and Dehn twists in topologically ordered states
Guanyu Zhu, Ali Lavasani, Maissam Barkeshli
A defining feature of topologically ordered states of matter is the existence of locally indistinguishable states on spaces with non-trivial topology. These degenerate states form…
Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits
Guanyu Zhu, Ali Lavasani, Maissam Barkeshli
A fundamental question in the theory of quantum computation is to understand the ultimate space-time resource costs for performing a universal set of logical quantum gates to arbit…