# Triunitary quantum circuits

@article{Jonay2021TriunitaryQC, title={Triunitary quantum circuits}, author={Cheryne Jonay and Vedika Khemani and Matteo Ippoliti}, journal={Physical Review Research}, year={2021} }

We introduce a novel class of quantum circuits that are unitary along three distinct “arrows of time”. These dynamics share some of the analytical tractability of “dual-unitary” circuits, while exhibiting distinctive and richer phenomenology. We find that two-point correlations in these dynamics are strictly confined to three directions in (1+1)-dimensional spacetime – the two light cone edges, δx = ±vδt, and the static worldline δx = 0. Along these directions, correlation functions are…

## 9 Citations

### Circuits of space-time quantum channels

- Physics
- 2022

Exact solutions in interacting many-body systems are scarce and very valuable since they provide crucial insights into the dynamics. This is true for both closed and open quantum systems. Recently…

### Construction and the ergodicity properties of dual unitary quantum circuits

- Mathematics
- 2022

We consider one dimensional quantum circuits of the brickwork type, where the fundamental quantum gate is dual unitary. Such models are solvable: the dynamical correlation functions of the inﬁnite…

### Random Quantum Circuits

- Physics
- 2022

Quantum circuits — built from local unitary gates and local measurements — are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena…

### From Dual Unitarity to Generic Quantum Operator Spreading

- Physics
- 2022

Dual-unitary circuits are paradigmatic examples of exactly solvable yet chaotic quantum many-body systems, but solvability naturally goes along with a degree of non-generic behaviour. By…

### Dual unitary circuits in random geometries

- Mathematics
- 2022

. Recently introduced dual unitary brickwork circuits have been recognised as paradigmatic exactly solvable quantum chaotic many-body systems with tunable degree of ergodicity and mixing. Here we…

### Remarks on the construction and the ergodicity properties of dual unitary quantum circuits (with an Appendix by Roland Bacher and Denis Serre)

- Mathematics
- 2022

We consider one dimensional quantum circuits of the brickwork type, where the fundamental quantum gate is dual unitary. Such models are solvable: the dynamical correlation functions of the inﬁnite…

### Multi-directional unitarity and maximal entanglement in spatially symmetric quantum states

- Mathematics
- 2022

We consider dual unitary operators and their multi-leg generalizations that have appeared at various places in the literature. These objects can be related to multi-party quantum states with special…

### Dynamical purification and the emergence of quantum state designs from the projected ensemble

- Physics
- 2022

Quantum thermalization in a many-body system is deﬁned by the approach of local subsystems towards a universal form, describable as an ensemble of quantum states wherein observables acquire thermal…

### Superintegrable cellular automata and dual unitary gates from Yang-Baxter maps

- Mathematics, PhysicsSciPost Physics
- 2022

We consider one dimensional block cellular automata, where the local
update rules are given by Yang-Baxter maps, which are set theoretical
solutions of the Yang-Baxter equations. We show that such…

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