Math Fundamentals for Quantum Computing Cheat Sheet Series
Math Fundamentals for Quantum Computing Cheat Sheet Series
A 15-page PDF cheat sheet series covering essential mathematical topics related to quantum computing, primarily focused on linear algebra.
This series will be most useful for students who have already taken or are taking linear algebra, but want to see all the information compacted into one short guide that can be used to prepare for a test or look back on as a reference.
The concepts are presented in a clear, concise way that prioritizes developing insight around topics and seeing the connections between them over precise mathematical formulas, proofs, and definitions (although there is some of that as well).
The series contains 90 bite-size sections with example problems and drawings to complement the theoretical explanations given.
KEYWORDS & CONCEPTS COVERED:
Diagonal Matrix
Dimension
Dirac Notation
Direct Sum
Distributivity
Dot Product
Eigenvalue
Eigenvector
Field
Function
Group
Hermitian Operator
Hilbert Space
Injective Function
Inner Product
Inverse Matrix
Invertibility
Abelian Group
Action of a Field
Adjugate Matrix
Associativity
Basis
Bijective Function
Born’s Rule
Bra-ket Notation
Cartesian Product
Cauchy Sequence
Closure
Commutativity
Complex Number
Complex Plane
Conjugate
Conjugate Symmetry
Determinant
Linear Combination
Linear Dependence
Linear Independence
Linear Operator
Linear Transformation
Matrix
Matrix Construction
Matrix Operations
Metric on a Vector Space
Modulus
Norms
Orthogonal
Orthonormal
Outer Product
Polar Form
Positive-Definiteness
Quantum Register
Relation
Scalar
Self-Adjoint
Set Theory
Spanning Set
Surjective Function
Symmetric Matrix
Tensor
Tensor Product
Trace
Transpose
Unitary Operator
Vector Space
Vector Subspace
Vector