485 citations · 2.2k across the 55 of their papers we have counts for
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Recoupling coefficients and quantum entropies
Matthias Christandl, Mehmet Burak Şahinoğlu, Michael Walter
We prove that the asymptotic behavior of the recoupling coefficients of the symmetric group is characterized by a quantum marginal problem -- namely, by the existence of quantum st…
Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information
Michael Walter, Brent Doran, David Gross +1
Entangled many-body states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to a…
When is a pure state of three qubits determined by its single-particle reduced density matrices?
Adam Sawicki, Michael Walter, Marek Kuś
Using techniques from symplectic geometry, we prove that a pure state of three qubits is up to local unitaries uniquely determined by its one-particle reduced density matrices exac…
Computing Multiplicities of Lie Group Representations
Matthias Christandl, Brent Doran, Michael Walter
For fixed compact connected Lie groups H \subseteq G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restricti…
Eigenvalue Distributions of Reduced Density Matrices
Matthias Christandl, Brent Doran, Stavros Kousidis +1
Given a random quantum state of multiple distinguishable or indistinguishable particles, we provide an effective method, rooted in symplectic geometry, to compute the joint probabi…