15 citations · 36 across the 15 of their papers we have counts for
18 papers
Classical and Quantum Simulation of All-to-All Quantum Dynamics in Logarithmic Space
Maximilian Lutz, Rahul Trivedi, J. Ignacio Cirac
We study both the classical and the quantum complexity of the problem of estimating disorder-averaged quench dynamics for all-to-all spin Hamiltonians such as quantum Hopfield, She…
Measurement and feedforward circuits from quantum error correcting codes
Georgios Styliaris, Rahul Trivedi
Measurements and feedforward enhance the power of shallow quantum circuits, enabling the deterministic implementation of global unitary operations and the preparation of long-range…
Is rapid mixing stable?
Jordi A. Montañà-López, Barbara Roos, Sebastian Stengele +2
Several physically interesting Lindbladians, such as those describing generic open quantum system models as well as engineered state preparation processes, are often rapidly mixing…
Dissipative preparation of injective tensor network states
Drishti Baruah, Georgios Styliaris, J. Ignacio Cirac +1
The preparation of tensor network states is a fundamental prerequisite for a wide range of quantum simulation tasks. While many unitary protocols for preparing these states have be…
Sequential Measurements as a Resource in Ancilla-Assisted Quantum Metrology
Koray Mentesoglu, Rahul Trivedi, Sara Mouradian
We present a protocol for simultaneous estimation of both quadratures of a displacement channel on a quantum harmonic oscillator using a single ancilla qubit, without complex state…
Structure and Classification of Matrix Product Quantum Channels
Giorgio Stucchi, J. Ignacio Cirac, Rahul Trivedi +1
We develop a framework for Matrix Product Quantum Channels (MPQCs), a one-dimensional tensor-network description of completely positive, trace-preserving maps. We focus on translat…
Quantum Memory and Autonomous Computation in Two Dimensions
Gesa Dünnweber, Georgios Styliaris, Rahul Trivedi
Quantum error correction (QEC) normally requires active maintenance using measurements, classical processing and externally controlled correction schedules. Passive QEC, by contras…
Noise robustness of problem-to-simulator mappings for quantum many-body physics
Rahul Trivedi, J. Ignacio Cirac
Simulating quantum dynamics on digital or analog quantum simulators often requires ``problem-to-simulator" mappings such as trotterization, floquet-magnus expansion or perturbative…
Optimizing digital quantum simulation of open quantum lattice models
Xie-Hang Yu, Hongchao Li, J. Ignacio Cirac +1
Many-body systems arising in condensed matter physics and quantum optics inevitably couple to the environment and need to be modelled as open quantum systems. While near-optimal al…
Quantum Circuits for Matrix-Product Unitaries
Georgios Styliaris, Rahul Trivedi, J. Ignacio Cirac
Matrix-product unitaries (MPUs) are many-body unitary operators that, as a consequence of their tensor-network structure, preserve the entanglement area law in 1D systems. However,…
Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
Joseph T. Lee, Silvia Cardenas-Lopez, Stuart J. Masson +2
Computing the exact dynamics of many-body quantum systems becomes intractable as system size grows. Here, we present a symmetry-based method that provides an exponential reduction…
Dynamical complexity of non-Gaussian many-body systems with dissipation
Guillermo González-García, Alexey V. Gorshkov, J. Ignacio Cirac +1
We characterize the dynamical state of many-body bosonic and fermionic many-body models with inter-site Gaussian couplings, on-site non-Gaussian interactions and local dissipation…
The product structure of MPS-under-permutations
Marta Florido-Llinàs, Álvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
Pauli path simulations of noisy quantum circuits beyond average case
Guillermo González-García, J. Ignacio Cirac, Rahul Trivedi
For random quantum circuits on qubits of depth with depolarizing noise, the task of sampling from the output state can be efficiently performed classically using a…
Matrix-product unitaries: Beyond quantum cellular automata
Georgios Styliaris, Rahul Trivedi, David Pérez-García +1
Matrix-product unitaries (MPU) are 1D tensor networks describing time evolution and unitary symmetries of quantum systems, while their action on states by construction preserves th…
The quantum adiabatic algorithm suppresses the proliferation of errors
Benjamin F. Schiffer, Adrian Franco Rubio, Rahul Trivedi +1
The propagation of errors severely compromises the reliability of quantum computations. The quantum adiabatic algorithm is a physically motivated method to prepare ground states of…
Accuracy guarantees and quantum advantage in analogue open quantum simulation with and without noise
Vikram Kashyap, Georgios Styliaris, Sara Mouradian +2
Many-body open quantum systems, described by Lindbladian master equations, are a rich class of physical models that display complex equilibrium and out-of-equilibrium phenomena whi…
Probing Off-diagonal Eigenstate Thermalization with Tensor Networks
Maxine Luo, Rahul Trivedi, Mari Carmen Bañuls +1
Energy filter methods in combination with quantum simulation can efficiently access the properties of quantum many-body systems at finite energy densities [Lu et al. PRX Quantum 2,…