122 citations · 434 across the 21 of their papers we have counts for
24 papers
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…
One-dimensional quantum Gibbs states in constant circuit depth
Saúl Pilatowsky-Cameo, Georgios Styliaris, Ainesh Bakshi +1
We prove that the Gibbs state of any spin chain can be exactly decomposed into a mixture of product states over contiguous blocks of qubits with bounded length, at any constant tem…
Nonstabilizerness of quantum tensor network states is intractable in two dimensions
Gianluca Esposito, Georgios Styliaris
Nonstabilizerness is a necessary resource for quantum systems to lie beyond the classically simulable regime. With the advent of stabilizer -Rényi entropies, nonstabilizerness h…
From Bits to Qubits: The Theory and Practice of Quantum Data Encoding
Xiao-Ming Zhang, Arthur G. Rattew, Bujiao Wu +4
Encoding classical data into quantum systems is a foundational step in the execution of nearly all quantum algorithms, and a critical bottleneck in realizing practical quantum adva…
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…
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…
Phases of matrix-product states with symmetries and measurements: Finite nilpotent groups
David Gunn, Georgios Styliaris, Barbara Kraus +1
We study phases of one-dimensional matrix-product states (MPS) when transformations are restricted to symmetric local circuits supplemented with symmetric measurements and feedforw…
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…
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,…
Average-computation benchmarking for local expectation values in digital quantum devices
Flavio Baccari, Pavel Kos, Georgios Styliaris
As quantum devices progress towards a quantum advantage regime, they become harder to benchmark. A particularly relevant challenge is to assess the quality of the whole computation…
Adiabatic quantum state preparation in integrable models
Maximilian Lutz, Lorenzo Piroli, Georgios Styliaris +1
We propose applying the adiabatic algorithm to prepare high-energy eigenstates of integrable models on a quantum computer. We first review the standard adiabatic algorithm to prepa…
Parent Lindbladians for Matrix Product Density Operators
Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris +3
Understanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, w…
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…
Characterizing MPS and PEPS Preparable via Measurement and Feedback
Yifan Zhang, Sarang Gopalakrishnan, Georgios Styliaris
Preparing long-range entangled states poses significant challenges for near-term quantum devices. It is known that measurement and feedback (MF) can aid this task by allowing the p…
Dual-isometric Projected Entangled Pair States
Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos +1
Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this paper, we propose a new class of Project Entangled Pair State (P…
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…
Approximating many-body quantum states with quantum circuits and measurements
Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac
We introduce protocols to prepare many-body quantum states with quantum circuits assisted by local operations and classical communication. We show that by lifting the requirement o…
Phases of Matrix Product States with Symmetric Quantum Circuits and Symmetric Measurements with Feedforward
David Gunn, Georgios Styliaris, Tristan Kraft +1
Two matrix product states (MPS) are in the same phase in the presence of symmetries if they can be transformed into one another via symmetric short-depth circuits. We consider how…
Preparation of matrix product states with log-depth quantum circuits
Daniel Malz, Georgios Styliaris, Zhi-Yuan Wei +1
We consider the preparation of matrix product states (MPS) on quantum devices via quantum circuits of local gates. We first prove that faithfully preparing translation-invariant no…
Typical Correlation Length of Sequentially Generated Tensor Network States
Daniel Haag, Flavio Baccari, Georgios Styliaris
The complexity of quantum many-body systems is manifested in the vast diversity of their correlations, making it challenging to distinguish the generic from the atypical features.…
Circuits of space and time quantum channels
Pavel Kos, Georgios Styliaris
Exact solutions in interacting many-body systems are scarce but extremely valuable since they provide insights into the dynamics. Dual-unitary models are examples in one spatial di…
Bulk-edge correspondence in the trimer Su-Schrieffer-Heeger model
Adamantios Anastasiadis, Georgios Styliaris, Rajesh Chaunsali +2
A remarkable feature of the trimer Su-Schrieffer-Heeger (SSH3) model is that it supports localized edge states. Although Zak's phase remains quantized for the case of a mirror-symm…
Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac
We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations…
Computable Rényi mutual information: Area laws and correlations
Samuel O. Scalet, Álvaro M. Alhambra, Georgios Styliaris +1
The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of s…