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We introduce a visual representation of qubits to assist in explaining quantum computing to a broad audience. The representation follows from physical devices that we developed to explain superposition, entanglement, measurement, phases,…

Quantum Physics · Physics 2022-11-30 Sophie Laplante , Loris Perez , Sylvie Tissot , Lou Vettier

As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space $R^3_q$ together with its symmetry structure in great detail. The algebraic structure and the representation theory are clarified and discrete…

Quantum Algebra · Mathematics 2011-09-13 B. L. Cerchiai , J. Madore , S. Schraml , J. Wess

The ground state of dense up and down quark matter under local and global charge neutrality conditions with $\beta$-equilibrium has at least four possibilities: normal, regular 2SC, gapless 2SC phases, and mixed phase composed of 2SC phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mei Huang , Igor Shovkovy

The Rubik's cube was invented in 1974 by Erno Rubik, who had no idea of the incredible popularity and mathematical fascinations his toy would bring. Through the years of study on the mathematical properties of the cube, the Rubik's Cube…

Combinatorics · Mathematics 2022-03-08 Skylar Werner

After reviewing some basic concepts of the theory of strongly interacting matter above nuclear energy density and reviewing some salient results of the experimental program at the Relativistic Heavy Ion Collider (RHIC), these lectures…

Nuclear Theory · Physics 2009-04-17 Berndt Müller

An algebraic method for evaluating bare nucleon matrix elements of quark operators is proposed. Thereby, bare nucleon matrix elements are traced back to vacuum matrix elements. The method is similar to the soft pion theorem. Matrix elements…

High Energy Physics - Phenomenology · Physics 2010-03-19 Sven Zschocke , Burkhard Kampfer , Guenter Plunien

In a classical field model involving extended dual electromagnetic fields quark-like particles are shown to have fractional charges and a confining energy that provides an asymptotically free spherical surface. A suggestion is made for…

High Energy Physics - Theory · Physics 2008-07-22 Harry Schiff

If quark matter is energetically favored over nuclear matter at zero temperature and pressure then it has long been expected to take the form of strange quark matter (SQM), with comparable amounts of $u$, $d$, $s$ quarks. The possibility of…

High Energy Physics - Phenomenology · Physics 2018-06-06 Bob Holdom , Jing Ren , Chen Zhang

Axion quark nuggets (AQNs) are hypothetical objects with nuclear density that would have formed during the quark-hadron transition and could make up most of the dark matter today. These objects have a mass greater than a few grams and are…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-26 Michael Sekatchev , Xunyu Liang , Fereshteh Majidi , Ben Scully , Ludovic Van Waerbeke , Ariel Zhitnitsky

In connection with recent discoveries of heavy-quark containing exotic states publications discussing $Qq$ diquarks ($Q,q$ stand for a heavy and light quarks, respectively) proliferated in the literature. After a brief summary of the…

High Energy Physics - Phenomenology · Physics 2024-12-10 M. Shifman

The 3-Kronecker quiver has two vertices, namely a sink and a source, and 3 arrows. A regular representation of a representation-infinite quiver such as the 3-Kronecker quiver is said to be elementary provided it is non-zero and not a proper…

Representation Theory · Mathematics 2016-12-30 Claus Michael Ringel

Theoretical approaches to strange and other types of quark matter accounted for at the SQM2003 Meeting are reviewed. They range from simple statistical models through perturbative QCD supported mico-dynamical simulations til lattice gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 T. S. Biro

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not simulate on a classical Turing machine? In this paper we argue that a QC could solve some relevant physical…

Quantum Physics · Physics 2009-11-10 Rolando Somma , Gerardo Ortiz , Emanuel Knill , James Gubernatis

A perfect fluid is quantized by the canonical method. The constraints are found and this allows the Dirac brackets to be calculated. Replacing the Dirac brackets with quantum commutators formally quantizes the system. There is a momentum…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

Within the standard electroweak model we point out that the $3\times 3$ matrix of quark mixing is characterized by three universal (rephasing-invariant) quantities: one of them for $CP$ violation and the other two for off-diagonal…

High Energy Physics - Phenomenology · Physics 2008-02-03 Zhi-zhong Xing

We present a scalable formal verification methodology for Quantum Phase Estimation (QPE) circuits. Our approach uses a symbolic qubit abstraction based on quantifier-free bit-vector logic, capturing key quantum phenomena, including…

Quantum Physics · Physics 2026-03-20 Arun Govindankutty , Sudarshan K. Srinivasan

This is a review of the geometry of quantum states using elementary methods and pictures. Quantum states are represented by a convex body, often in high dimensions. In the case of n-qubits, the dimension is exponentially large in n. The…

Quantum Physics · Physics 2019-08-12 Joseph Avron , Oded Kenneth

A quantum circuit is a computational unit that transforms an input quantum state to an output one. A natural way to reason about its behavior is to compute explicitly the unitary matrix implemented by it. However, when the number of qubits…

Programming Languages · Computer Science 2021-12-22 Wenjun Shi , Qinxiang Cao , Yuxin Deng , Hanru Jiang , Yuan Feng

A unitary (Euclidean) representation of a quiver is given by assigning to each vertex a unitary (Euclidean) vector space and to each arrow a linear mapping of the corresponding vector spaces. We recall an algorithm for reducing the matrices…

Representation Theory · Mathematics 2007-09-18 Vladimir V. Sergeichuk

Results are presented from a numerical study of lattice QCD with gauge group SU(2) and two flavors of Wilson fermion at non-zero quark chemical potential mu >> T. Studies of the equation of state, the superfluid condensate, and the Polyakov…

Nuclear Theory · Physics 2008-11-26 Simon Hands , Seyong Kim , Jon-Ivar Skullerud