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Related Articles from SNS

Tomography of quantum states with bounded extent

arXiv:2606.07425v1 Announce Type: cross Abstract: We give a general framework for tomography of states that have bounded-extent with respect to a structured class of states. Let $\textsf{C}$ be a family of $n$-qubit states such that: $(i)$ $\textsf{C}$ is succinctly representable and $(ii)$ there is a weak agnostic learner of $\textsf{C}$. We give a tomography protocol for an unknown state $|\psi\rangle$ that is promised to admit a decomposition of the form $|\psi\rangle = \sum_i c_i...

arXiv CS 2d ago

Theory for the Rydberg states of helium: quantum defect extensions and comparison with experiment up to $n = 102$ for the singlet and triplet $P$-states

Announce Type: new Abstract: High precision variational calculations for helium in Hylleraas coordinates are used to obtain a combination of quantum defect expansions for the nonrelativistic energy and $1/n$ expansions for the relativistic and quantum electrodynamic (QED) corrections. The extrapolations based on direct calculations for the singlet and triplet $P$-states up to principal quantum number $n = 35$ provide ionization energies of the $1snp\;^1P_1$ and $^3P_c$ (centroid) states up...

arXiv Physics 8d ago

An Explicit Scott-Type Bound for Absolutely Maximally Entangled States with Arbitrary Defect

arXiv:2606.01943v1 Announce Type: cross Abstract: Absolutely maximally entangled (AME) states and, more generally, $k$-uniform states in $(\C^q)^{\otimes n}$ are central objects in multipartite entanglement theory, with applications to quantum secret sharing, quantum masking, and quantum error correction. In the extremal case $k=\lfloor n/2\rfloor$, Scott (2004) proved a sharp nonexistence bound showing that AME states cannot exist once the number of parties $n$ exceeds a threshold of order...

arXiv CS 8d ago

Deterministic Monotone Min-Plus Product and Convolution

arXiv:2605.07150v2 Announce Type: replace Abstract: The Monotone Min-Plus Product problem is a useful primitive that has seen many algorithmic applications over the past decade. In this problem, we are given two $n\times n$ integer matrices $A$ and $B$, where each row of $B$ is a monotone non-decreasing sequence of integers from $\{1,\dots,n\}$, and the goal is to compute their Min-Plus product, defined as the $n\times n$ matrix $C$ with $C_{i,j} = \min_{k}\{A_{i,k} + B_{k,j}\}$. The fastest...

arXiv CS 9d ago

Judge dismisses lawsuit by 31 former NC State athletes alleging sexual abuse, misconduct by ex-head trainer

A North Carolina judge dismissed a lawsuit filed by 31 ex-N.C. State male athletes who alleged sexual abuse by the athletic program’s former director of sports medicine. The lawsuit was filed under the guise of treatment and harassment against Robert M. Murphy Jr., as well as N.C. State athletic officials who are tied to oversight rules. However, Wake County Superior Court Judge Bryan Collins dismissed the claims, citing procedural reasons.

Fox News 5h ago

Ionization energies for Rydberg $^4 \mathrm{He}$ ($1snp\,^{1,3}P$) states using the correlated B-spline basis function method

arXiv:2606.04768v2 Announce Type: replace Abstract: We extend the correlated B-spline basis function (C-BSBF) method to high-precision calculations of the ionization energies of helium Rydberg $n^{1,3}P$ states ($n=24$--$35$). Using a unified basis set, we evaluate nonrelativistic energies, relativistic corrections of order $m\alpha^4$ (including finite-mass recoil), QED contributions of order $m\alpha^5$, and partial $m\alpha^6$ terms (singlet-triplet mixing, one- and two-loop radiative...

arXiv Physics 2d ago

Ionization energies for Rydberg $^4 \mathrm{He}$ ($1snp\,^{1,3}P$) states using the correlated B-spline basis function method

Announce Type: new Abstract: We extend the correlated B-spline basis function (C-BSBF) method to high-precision calculations of the ionization energies of helium Rydberg $n^{1,3}P$ states ($n=24$--$35$). Using a unified basis set, we evaluate nonrelativistic energies, relativistic corrections of order $m\alpha^4$ (including finite-mass recoil), QED contributions of order $m\alpha^5$, and partial $m\alpha^6$ terms (singlet-triplet mixing, one- and two-loop radiative corrections). The...

arXiv Physics 6d ago

WATCH: Hawley fumes after 4 GOP senators help sink Trump-backed voter ID law

Sen. Josh Hawley, R-Mo., criticized four fellow Republicans who joined Democrats to block an effort to add the Safeguarding American Voter Eligibility (SAVE) Act to the Senate's reconciliation package, saying "you can't explain it to me why you wouldn't vote for voter ID."During Thursday's vote-a-rama, Sens. Susan Collins, R-Maine, Lisa Murkowski, R-Alaska, Mitch McConnell, R-Ky., and Thom Tillis, R-N.C., voted with Democrats to defeat an amendment that would have attached the...

Fox News 3d ago

WATCH: Hawley fumes after 4 GOP senators help sink Trump-backed voter ID law

Sen. Josh Hawley, R-Mo., criticized four fellow Republicans who joined Democrats to block an effort to add the Safeguarding American Voter Eligibility (SAVE) Act to the Senate's reconciliation package, saying "you can't explain it to me why you wouldn't vote for voter ID."During Thursday's vote-a-rama, Sens. Susan Collins, R-Maine, Lisa Murkowski, R-Alaska, Mitch McConnell, R-Ky., and Thom Tillis, R-N.C., voted with Democrats to defeat an amendment that would have attached the...

Fox News Politics 3d ago

Foreign enemies have a shockingly simple way to track US troops overseas, lawmakers warn

A bipartisan group of lawmakers is demanding answers from the Pentagon after U.S. Central Command disclosed it had received multiple threat reports indicating foreign adversaries were exploiting commercially available location data to target or surveil American military personnel overseas. In a letter to War Department Chief Information Officer Kirsten Davies, lawmakers led by Sen. Ron Wyden, D-Ore., and Rep. Pat Harrigan, R-N.C., warned that the Pentagon "has not taken basic steps to...

Fox News 7d ago