Purity decay rate in random circuits with different configurations of gates

Bensa, Jaš (avtor), Žnidarič, Marko (avtor)

We study purity decay—a measure of bipartite entanglement—in a chain of $n$ qubits under the action of various geometries of nearest-neighbor random two-site unitary gates. We use a Markov chain description of average purity evolution, using further reduction to obtain a transfer matrix of only polynomial dimension in $n$. In most circuits, an exception being the brick-wall configuration, purity decays to its asymptotic value in two stages: the initial thermodynamically relevant decay persisting up to extensive times is $\sim \lambda^t_{eff}$, with $\lambda_{eff}$ not necessarily being in the spectrum of the transfer matrix, while the ultimate asymptotic decay is given by the second largest eigenvalue $\lambda_2$ of the transfer matrix. The effective rate $\lambda_{eff}$ depends on the location of bipartition boundaries as well as on the geometry of applied gates.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, statistical mechanics, quantum circuits, quantum gates, quantum information theory, quantum statistical mechanics, quantum information, science and technology, statistical physics, thermodynamics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2023
• Št. strani: 13 str.
• Številčenje: Vol. 107, iss. 2, art. 022604
• PID: 20.500.12556/RUL-155058
• UDK: 536.93
• ISSN pri članku: 2469-9926
• DOI: 10.1103/PhysRevA.107.022604
• COBISS.SI-ID: 188884995
• Datum objave v RUL: 18.03.2024

Gradivo je del revije

• Naslov: Physical review. A
• Založnik: American Physical Society
• ISSN: 2469-9926
• COBISS.SI-ID: 2996836

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, statistična mehanika