Conveners
Quantum computing and quantum information: TR7
- Zohreh Davoudi (University of Maryland, College Park)
Quantum computing and quantum information: TR7
- Bipasha Chakraborty (University of Southampton)
Quantum computing and quantum information: TR7
- Shailesh Chandrasekharan (Duke University)
Quantum computing and quantum information: Flex2
- Emanuele Mendicelli (University of Liverpool)
We present ongoing work applying quantum computing techniques to investigate real-time evolution in the Schwinger model using the Hamiltonian Truncation approach - a general, numerical and fully nonperturbative method for solving Quantum Field Theories that is complementary to the lattice. We quantify and compare the quality of different approximations employed in the method, including...
A threshold probability in Quantum Error Correction (QEC) is maximally allowed quantum error rate below which QEC can be implemented for a given quantum code. Usually one can find a mapping of QEC problem into a statistical mechanics model under certain assumptions on the quantum error pattern in physical quantum circuits. Then this threshold probability can be studied by Monte Carlo...
We introduce a framework for noise-aware optimization of mixed-state quantum computation, showing the advantages for NISQ era and some lattice applications.
The use of quantum computers could circumvent the complex action problem hampering first-principles studies of gauge theories in real time or at finite density. One of the main bottlenecks of quantum computers is the limited number of available qubits. One approach to mitigate this bottleneck is the discretization of continuous gauge groups to their discrete subgroups, which introduces...
Quantum simulators offer great potential for investigating the dynamical properties of quantum field theories. However, a key challenge is the preparation of high-fidelity initial states for these simulations. In this study, we focus on ground states and explore how information about their static properties, which can be efficiently obtained using lattice-based path-integral Monte Carlo...
The real-time dynamics of Quantum Chromodynamics and other strongly coupled gauge theories present significant challenges for standard Monte Carlo methods due to severe sign problems. This limitation makes these problems ideal candidates for quantum simulation techniques. Identifying phenomena that can be tackled using near-term quantum simulators is crucial for understanding of real-time...
A Hamiltonian lattice formulation of lattice gauge theories opens the possibility for quantum simulations of the non-perturbative dynamics of QCD. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we show how the Hilbert space and interactions can be expanded in inverse powers of Nc. At leading order in this expansion, the Hamiltonian simplifies...
The study of entanglement in quantum field theories provides insight into universal properties which are typically challenging to extract by means of local observables. However, calculations of quantities related to entanglement in gauge theories are limited by ambiguities that stem from the non-factorizability of the Hilbert space. On the other hand, Abelian lattice gauge theories are known...
Supersymmetric models are built upon a hypothetical symmetry between bosonic and fermionic particles. Lattice studies of their non-perturbative features such as spontaneous supersymmetry breaking and real-time evolution are limited by the sign-problem. The sign-problem can be avoided by working in the Hamiltonian formalism, but it requires an amount of classical resources that grows...
We study the dynamics of the SYK model, an important toy model for quantum gravity, on IBM's superconducting qubit quantum computers. Using a graph coloring algorithm for construction with the Jordan-Wigner transformation, we find an implementation for the Trotter evolution with a complexity of $\mathcal{O}(N^5 J^{2}t^2/\epsilon)$, where $N$ represents the number of Majorana fermions, $J$ is...
Despite recent progress, the accurate determination of entanglement measures in SU(N) lattice gauge theory remains a challenging task; in particular as the number of colors, N, is increased.
Considering entanglement entropy (EE) for slab-shaped entangling regions in (3+1)-dimensional pure SU(N) gauge theory, we discuss the difficulties that arise for N>4 and present our approaches to overcome them.
Reformulating the Hamiltonian formulation of non-Abelian lattice gauge theories entirely in terms of gauge invariant loop-string-hadron degrees of freedom provides a set of advantages for simulating the theory on quantum hardware and in turn is expected to address a series of physics quests. The framework is manifestly (non-Abelian) gauge invariant, yet possesses a set of remnant Abelian gauge...
Quantum simulation of gauge theories has already crossed its initial phase and is rapidly becoming a solid testing ground for novel quantum algorithms. However, the challenges are numerous for robust and reliable quantum simulation of gauge theories, and in this talk I will discuss our ongoing work to address a few challenges. I will describe ground state preparation for gauge theory...
Quantum link models (QLMs) are generalizations of Wilsonian lattice gauge theory which can be formulated with finite-dimensional link Hilbert spaces, and which can be embedded onto local spin Hamiltonians for efficient quantum simulation by exact imposition of the Gauss Law constraint. Previously, SO(3) QLMs have been studied in 1+1d and shown to reflect key properties of QCD and nuclear...
We compute the $\theta$-dependent mass spectrum of the 2-flavor Schwingr model using the tensor network (DMRG) in the Hamiltonian formalism. The pion and the sigma meson are identified as stable particles of the model for nonzero $\theta$ whereas the eta meson becomes unstable. The meson masses are obtained from the one-point functions, using the meson operators defined by diagonalizing the...
The Hamiltonian formulation of lattice gauge theories offers a pathway to new quantum and classical simulation techniques. Given the finite number of degrees of freedom in quantum simulators, it is necessary to make the Hilbert space for each link finite. In this talk, we discuss common approaches to achieve finite Hilbert spaces per link for (1+1)d Abelian gauge theories.
By adding...
We consider the strong coupling limit of Lattice QCD with massless staggered quarks and study the resource requirements for quantum simulating the theory in its Hamiltonian formulation. The bosonic Hilbert space of the color-singlet degrees of freedom grows quickly with the number of quark flavors, making it a suitable testing ground for resource considerations across different platforms. In...
Quantum simulation holds promise of enabling a complete description of high-energy scattering processes rooted in gauge theories of the Standard Model. A first step in such simulations is preparation of interacting hadronic wave packets. To create the wave packets, one typically resorts to adiabatic evolution to bridge between wave packets in the free theory and those in the interacting...
