6 papers · 1 filter
State-independent uncertainty relations on multipartite spin -systems
Yiling Wang, Kailash Misra, Naihuan Jing
Uncertainty relations quantify fundamental limits on simultaneous measurement of quantum observables. While conventional formulations are state-dependent, state-independent uncerta…
Complexity Bounds for Hamiltonian Simulation in Unitary Representations
Naihuan Jing, Molena Nguyen
For any unitary representation on a finite-dimensional Hilbert space \(V\) with differential \(dρ: \mathfrak{g} \to \mathfrak{u}(V)\) for the Lie algebra , we cons…
Zassenhaus Expansion in Solving the Schrödinger Equation
Yali Du, Naihuan Jing, Molena Nguyen +1
A fundamental challenge in quantum simulation is approximating the time-evolution operator \(U(t)=e^{-i\mathcal{H}t}\) generated by a large sum of typically non-commuting Hamiltoni…
Local Unitary Equivalence of Tripartite Quantum States In Terms of Trace Identities
Isaac Dobes, Naihuan Jing
In this paper we present a modified version of the proof given Jing-Yang-Zhao's paper "Local Unitary Equivalence of Quantum States and Simultaneous Orthogonal Equivalence," which e…
Cayley's First Hyperdeterminant is an Entanglement Measure
Isaac Dobes, Naihuan Jing
Previously, it was shown that both the concurrence and -tangle on -qubit pure quantum states can be expressed in terms of Cayley's first hyperdeterminant \cite{dobes2024qubi…
Classifying Density Matrices of 2 and 3 Qubit States Up To LU Equivalence
Isaac Dobes, Naihuan Jing
In this paper we present a modified version of the proof given Jing-Yang-Zhao's paper titled "Local Unitary Equivalence of Quantum States and Simultaneous Orthogonal Equivalence,"…