Quantum Physics Mastery
Like Duolingo, but for Quantum Physics Mastery. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
Free during early access · No credit card · iPhone & Android
Key ideas in Quantum Physics Mastery
- The |0⟩ state is located at the North Pole (+Z)
- The Bloch sphere mapping ignores global phase factors
- Unitary operations are rigid rotations of the Bloch vector
- Global phase does not change the expectation values of observables
- The physical irrelevance of global phase
- The Z-axis represents the computational basis
- Superpositions with different relative phases map to the equator
- Pure states live on the surface of the sphere
- Interaction with the environment (decoherence) reduces the vector length
- Mixed states are represented by the interior of the sphere
- A maximally mixed state sits exactly at the origin (center)
- The |+⟩ state is on the X-axis equator
- A rotation of π/2 around the Y-axis maps the Z-pole to the X-equator
- Calculating the rotation sequence to move from |0⟩ to |+⟩
- Relative phase determines the outcome of measurements in the X or Y basis
- How a unitary transformation manifests as a rotation on the Bloch sphere
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Quantum Physics Mastery the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
If you are looking at a Bloch sphere, where would you find the |0⟩ state?
Get it right to open this lesson and 194 more in the app.
Where Quantum Physics Mastery takes you
Master the counter-intuitive reality of the subatomic world. From building quantum circuits to deriving the mathematical foundations of entanglement, this course transforms you from a curious observer into a quantum practitioner.
- 1
Hacking Reality: Quantum Computing and Information
- Qubit Manipulation and Bloch Sphere Visualization
- Quantum Logic Gates: Hadamard, CNOT, and Toffoli
- Shor’s and Grover’s Algorithms in Practice
- Quantum Error Correction and Decoherence Mitigation
- 2
The Non-Local Universe: Entanglement and Correlation
- Bell’s Theorem and the Violation of Local Realism
- Quantum Teleportation Protocols
- CHSH Inequality and Experimental Verification
- Entanglement Swapping and Quantum Repeaters
- Density Matrices and the Partial Trace
- Monogamy of Entanglement
- 3
Wave Mechanics and the Schrödinger Formalism
- Time-Dependent vs. Time-Independent Schrödinger Equations
- The Infinite and Finite Square Well
- Quantum Tunneling and Scanning Tunneling Microscopy
- 4
The Operator Algebra: Hilbert Space and Bra-Ket Notation
- Dirac Notation and Vector Space Foundations
- Hermitian Operators and Observables
- Commutation Relations and the Uncertainty Principle
- Eigenvalues, Eigenstates, and the Spectral Theorem
- Unitary Evolution and the Propagator
- 5
Angular Momentum and Spin Dynamics
- The Stern-Gerlach Experiment and Quantized Spin
- Pauli Spin Matrices and SU(2) Symmetry
- Addition of Angular Momentum and Clebsch-Gordan Coefficients
- Spin-Orbit Coupling and Fine Structure
- 6
Advanced Approximation Methods
- Time-Independent Perturbation Theory
- The Variational Principle for Ground State Energy
- The WKB (Wentzel-Kramers-Brillouin) Approximation
- Adiabatic Approximation and Berry’s Phase
- Time-Dependent Perturbation and Fermi’s Golden Rule
- 7
Many-Body Systems and Quantum Statistics
- Identical Particles: Bosons and Fermions
- The Pauli Exclusion Principle and Slater Determinants
- Bose-Einstein Condensation and Superfluidity
- Second Quantization and Creation/Annihilation Operators
- 8
Relativistic Quantum Mechanics and Field Theory
- The Klein-Gordon Equation for Scalar Fields
- The Dirac Equation and the Prediction of Antimatter
- Introduction to Quantum Electrodynamics (QED)
- Feynman Diagrams and Scattering Amplitudes
- Renormalization and the Path Integral Formulation
- 9
Interpretations and Philosophical Foundations
- Copenhagen Interpretation vs. Many-Worlds
- Pilot Wave Theory (De Broglie-Bohm)
- Quantum Decoherence and the Measurement Problem
9 sections · 39 units · 195 levels. Built to play, not to enroll.
You pick the voice
Quantum Physics Mastery is taught in the The Professor style: clear, structured, thorough. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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Start Quantum Physics Mastery today.
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