Explanipedia

Optimizing fermionic Hamiltonians with classical interactions Open

Maarten Stroeks, Barbara M. Terhal, Yaroslav Herasymenko · 2025

We consider the optimization problem (ground energy search) for fermionic Hamiltonians with classical interactions. This QMA-hard problem is motivated by the Coulomb electron-electron interaction being diagonal in the position basis, a fun…

Classifying fermionic states via many-body correlation measures Open

Mykola Semenyakin, Yevheniia Cheipesh, Yaroslav Herasymenko · 2025

Understanding the structure of quantum correlations in a many-body system is key to its computational treatment. For fermionic systems, correlations can be defined as deviations from Slater determinant states. The link between fermionic co…

Efficient Learning of Quantum States Prepared With Few Fermionic Non-Gaussian Gates Open

Antonio Anna Mele, Yaroslav Herasymenko · 2025

The experimental realization of increasingly complex quantum states underscores the pressing need for new methods of state learning and verification. In one such framework, quantum state tomography, the aim is to learn the full quantum sta…

Solving Free Fermion Problems on a Quantum Computer Open

Maarten Stroeks, Daan Lenterman, Barbara M. Terhal, Yaroslav Herasymenko · 2024

Simulating noninteracting fermion systems is a common task in computational many-body physics. In absence of translational symmetries, modeling free fermions on $N$ modes usually requires poly$(N)$ computational resources. While often mode…

Fermionic Hamiltonians without trivial low-energy states Open

Yaroslav Herasymenko, Anurag Anshu, Barbara M. Terhal, Jonas Helsen · 2024

One of the main problems in computational physics is predicting the low-energy behavior of many-body quantum systems. The computational complexity of this problem, however, is relatively poorly understood. A recent major progress in this d…

Classifying fermionic states via many-body correlation measures Open

Mykola Semenyakin, Yevheniia Cheipesh, Yaroslav Herasymenko · 2023

Understanding the structure of quantum correlations in a many-body system is key to its computational treatment. For fermionic systems, correlations can be defined as deviations from Slater determinant states. The link between fermionic co…

Optimizing sparse fermionic Hamiltonians Open

Yaroslav Herasymenko, Maarten Stroeks, Jonas Helsen, Barbara M. Terhal · 2023

We consider the problem of approximating the ground state energy of a fermionic Hamiltonian using a Gaussian state. In sharp contrast to the dense case [1, 2], we prove that strictly -local fermionic Hamiltonians have a constant Gaussian …

Fermionic Hamiltonians without trivial low-energy states Open

Yaroslav Herasymenko, Anurag Anshu, Barbara M. Terhal, Jonas Helsen · 2023

We construct local fermionic Hamiltonians with no low-energy trivial states (NLTS), providing a fermionic counterpart to the NLTS theorem. Distinctly from the qubit case, we define trivial states via finite-depth $\textit{fermionic}$ quant…

Measurement-Driven Navigation in Many-Body Hilbert Space: Active-Decision Steering Open

Yaroslav Herasymenko, I. V. Gornyi, Yuval Gefen · 2023

The challenge of preparing a system in a designated state spans diverse facets of quantum mechanics. To complete this task of steering quantum states, one can employ quantum control through a sequence of generalized measurements, which dir…

Report on 2211.09784v2 Open

Yaroslav Herasymenko · 2023

Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases.This new and exciting direction brings about important research …

Optimizing sparse fermionic Hamiltonians Open

Yaroslav Herasymenko, Maarten Stroeks, Jonas Helsen, Barbara M. Terhal · 2022

We consider the problem of approximating the ground state energy of a fermionic Hamiltonian using a Gaussian state. In sharp contrast to the dense case, we prove that strictly $q$-local $\rm {\textit {sparse}}$ fermionic Hamiltonians have …

A diagrammatic approach to variational quantum ansatz construction Open

Yaroslav Herasymenko, Thomas E. O’Brien · 2021

Variational quantum eigensolvers (VQEs) are a promising class of quantum algorithms for preparing approximate ground states in near-term quantum devices. Minimizing the error in such an approximation requires designing ansatzes using physi…

Measurement-driven navigation in many-body Hilbert space: Active-decision steering Open

Yaroslav Herasymenko, I. V. Gornyi, Yuval Gefen · 2021

The challenge of preparing a system in a designated state spans diverse facets of quantum mechanics. To complete this task of steering quantum states, one can employ quantum control through a sequence of generalized measurements which dire…

Quantum digital cooling Open

Stefano Polla, Yaroslav Herasymenko, Thomas E. O’Brien · 2021

We introduce a method for digital preparation of ground states of simulated Hamiltonians, inspired by cooling in nature and adapted to leverage the capabilities of digital quantum hardware. The cold bath is simulated by a single ancillary …

Quantum digital cooling Open

Stefano Polla, Yaroslav Herasymenko, Thomas E. O’Brien · 2019

We introduce a method for digital preparation of ground states of simulated Hamiltonians, inspired by cooling in nature and adapted to leverage the capabilities of digital quantum hardware. The cold bath is simulated by a single ancillary …

Deterministic Creation and Braiding of Chiral Edge Vortices Open

C. W. J. Beenakker, Paul Baireuther, Yaroslav Herasymenko, İnanç Adagideli, Lin Wang , et al. · 2019

Majorana zero modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by …

Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor Open

C. W. J. Beenakker, Aurélien Grabsch, Yaroslav Herasymenko · 2019

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with eq…

Report on 1812.01444v1 Open

C. W. J. Beenakker, Aurélien Grabsch, Yaroslav Herasymenko · 2019

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with eq…

Report on 1812.01444v1 Open

C. W. J. Beenakker, Aurélien Grabsch, Yaroslav Herasymenko · 2019

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with eq…

How to braid mobile with immobile non-Abelian anyons in a topological superconductor Open

C. W. J. Beenakker, Paul Baireuther, Yaroslav Herasymenko, İnanç Adagideli, Anton Akhmerov · 2018

Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by …

Nonlocal correlations in the presence of signaling and their implications for topological zero modes Open

Avishy Carmi, Yaroslav Herasymenko, Eliahu Cohen, Kyrylo Snizhko · 2018

Valley switch in a graphene superlattice due to pseudo-Andreev reflection Open

C. W. J. Beenakker, N. V. Gnezdilov, Elizabeth Dresselhaus, Viacheslav Ostroukh, Yaroslav Herasymenko , et al. · 2018

Dirac electrons in graphene have a valley degree of freedom that is being explored as a carrier of information. In that context of "valleytronics" one seeks to coherently manipulate the valley index. Here we show that reflection from a sup…

Universal Quantum Noise in Adiabatic Pumping Open

Yaroslav Herasymenko, Kyrylo Snizhko, Yuval Gefen · 2018

We consider charge pumping in a system of parafermions, implemented at fractional quantum Hall edges. Our pumping protocol leads to a noisy behavior of the pumped current. As the adiabatic limit is approached, not only does the noisy behav…

Yaroslav Herasymenko YOU? Author Swipe