



02121nas a2200181   4500008004100000245006900041210006800110260001400178520156100192100001901753700002201772700001901794700001901813700002401832700002501856700002101881856003701902       2023                        eng d00aFault-tolerant hyperbolic Floquet quantum error correcting codes0 aFaulttolerant hyperbolic Floquet quantum error correcting codes  c9/18/20233 a<p>A central goal in quantum error correction is to reduce the overhead of fault-tolerant quantum computing by increasing noise thresholds and reducing the number of physical qubits required to sustain a logical qubit. We introduce a potential path towards this goal based on a family of dynamically generated quantum error correcting codes that we call &quot;hyperbolic Floquet codes.&quot; These codes are defined by a specific sequence of non-commuting two-body measurements arranged periodically in time that stabilize a topological code on a hyperbolic manifold with negative curvature. We focus on a family of lattices for n qubits that, according to our prescription that defines the code, provably achieve a finite encoding rate (1/8+2/n) and have a depth-3 syndrome extraction circuit. Similar to hyperbolic surface codes, the distance of the code at each time-step scales at most logarithmically in n. The family of lattices we choose indicates that this scaling is achievable in practice. We develop and benchmark an efficient matching-based decoder that provides evidence of a threshold near 0.1% in a phenomenological noise model. Utilizing weight-two check operators and a qubit connectivity of 3, one of our hyperbolic Floquet codes uses 400 physical qubits to encode 52 logical qubits with a code distance of 8, i.e., it is a [[400,52,8]] code. At small error rates, comparable logical error suppression to this code requires 5x as many physical qubits (1924) when using the honeycomb Floquet code with the same noise model and decoder.</p>1 aFahimniya, Ali1 aDehghani, Hossein1 aBharti, Kishor1 aMathew, Sheryl1 aKollár, Alicia, J.1 aGorshkov, Alexey, V.1 aGullans, Michael  uhttps://arxiv.org/abs/2309.1003301926nas a2200181   4500008004100000245010800041210006900149260001300218520132500231100001901556700001901575700002001594700001901614700002901633700002001662700002501682856003701707       2023                        eng d00aHigh-Energy Collision of Quarks and Hadrons in the Schwinger Model: From Tensor Networks to Circuit QED0 aHighEnergy Collision of Quarks and Hadrons in the Schwinger Mode  c7/5/20233 a<p>With the aim of studying nonperturbative out-of-equilibrium dynamics of high-energy particle collisions on quantum simulators, we investigate the scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions. Working in the bosonized formulation of the model, we propose an analog circuit-QED implementation that is native to the platform, requires minimal ingredients and approximations, and enables practical schemes for particle wave-packet preparation and evolution. Furthermore, working in the thermodynamic limit, we use uniform-matrix-product-state tensor networks to construct multi-particle wave-packet states, evolve them in time, and detect outgoing particles post collision. This facilitates the numerical simulation of scattering experiments in both confined and deconfined regimes of the model at different energies, giving rise to rich phenomenology, including inelastic production of quark and meson states, meson disintegration, and dynamical string formation and breaking. We obtain elastic and inelastic scattering cross sections, together with time-resolved momentum and position distributions of the outgoing particles. This study highlights the role of classical and quantum simulation in enhancing our understanding of scattering processes in quantum field theories in real time.</p>1 aBelyansky, Ron1 aWhitsitt, Seth1 aMueller, Niklas1 aFahimniya, Ali1 aBennewitz, Elizabeth, R.1 aDavoudi, Zohreh1 aGorshkov, Alexey, V.  uhttps://arxiv.org/abs/2307.02522