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Calculating the Matrix Exponential
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Papers
A machine learning approach to Bayesian parameter estimation
A Neural Framework for Learning DAG to DAG Translation
A short introduction to the Lindblad Master Equation
Demonstration of Shor’s factoring algorithm for N=21 on IBM quantum processors
Dynamics of Open Quantum Systems II, Markovian Approximation
Encoding a qudit in an oscillator
Fully autonomous tuning of a spin qubit
Hybrid completely positive Markovian quantum-classical dynamics
Integer Factorization by Quantum Measurement
Jordan-Schwinger map in the theory of angular momentum
Learning the noise fingerprint of quantum devices
Leggett-Gard inequalities
Machine Learning Catalysis of quantum tunneling
Machine learning for optical quantum metrology
On the (im)possibility of extending the GRW model to relativistic particles
Parameter Efficient Deep Neural Networks with Bilinear Projections
Pymablock, an algorithm and a package forquasi-degenerate perturbation theory
Quantum algorithm for nonlinear differential equations
Quantum algorithms - A survey of applications and end-to-end complexities
Quantum Brownian Motion, a review
Quantum Channels, Kraus Operators, POVMs
Quantum Langevin equation
Reconstructing the dynamics of a movable mirror in a detuned optical cavity
Stochastic unraveling of positive quantum dynamics
The Classification of Clifford Gates over Qubits
The Elements of Differentiable Programming
Which theories have a measurement problem?
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Infinite double well
Lie group - Lie algebra correspondence
Not all self-adjoint operators are hermitian
Particle in a Box
Quadratic potential ground state energy via the Variational Method
Quantum Harmonic Oscillator
Quartic potential ground state
Single well
Spinors ground state energy via the Variational Method
Theorems
All involuntary operators are unitary
All operators can be decomposed into hermitian and anti-hermitian components
Angular Momentum is conserved iff the potential is invariant under rotations
Cauchy-Schwarz inequality
Commutators are anti-commutative
Commutators are bilinear
Commutators satisfy the Jacobi Identity
Density operators are diagonalizable
Eigenstate measurements are deterministic
Einstein-Planck relation
Finding interferometer phase
Fourier tranform's inverse is it's adjoint
Fourier Uncertainty Principle
Group relations
Heisenberg Equation of Motion
Heisenberg Uncertainty Principle
Hermitian Operators are Self-Adjoint
In finite dimensional spaces, hermitian = symmetric = self-adjoint
Liouville–von Neumann equation
Matrix multiplication distributes over commutation
Measurement uncertainty is bigger than the expectation squared
MLE with normally distributed model
Newton's 2nd law
No-cloning theorem
Norms are non-negative
Pauli exclusion principle
Pauli matrices are involuntory
Pauli matrices are unitary
Pauli matrices have determinant -1
Pauli matrices have trace 0
Plancherel Theorem
Position and momentum operators are canonical conjugates
Positive operators have a unique positive square root
Quantum states' inner product is time independent
Separable Hamiltonians evolve independently
Spectral theorem
Stokes theorem
Table of integrals
The Fourier Transform is isometric
The Schrodinger and Heisenberg pictures are equivalent
There is no measurement uncertainty iff the eigenstate is in the kernel of the operator
Time-independent Schrodinger equation derivation
Universal property of tensor products
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