To Study

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Topics Study

• born rule

Math

• complex numbers
• Hilbert space
• linear algebra
• Vector triple product expansion
• representation theory
• density matrix

Quantum mechanics

• atoms trapping
• optical tweezers
• Rabi oscillations
• cryogenic nanopositioner
• quantum sensing
• POVM
• Pauli exclusion principle
• Hermitian operator
• dipolar Rydberg interaction
• Rydberg states
• Rydberg blockade
• Hamiltonians
• van der Waals interactions
• Floquet engineering
• Jordan-Wigner and Bravyi-Kitaev transformations
• Gauge theories
• Eletromagnetically-induced transparency
• Raman Techniques
• casimir polder interaction

Quantum Computing

• stabilizers
• Mølmer-Sørensen (MS) gate
• Photonic quantum computing / quantum computing based on photons
• Trapped ions
• Cold Atoms
• Nuclear Magnetic Resonance
• Quantum Dots
• Defect Qubits
• quantum computing Superconductors
• Josephson junction
• LHZ architecture
• surface code
• NV qubits
• LNN architecture
• P, T, T dagger and S gates
• non-orthogonal quantum state
• CHSH bell test
• bell states
• bell tests
• Maximally entangled
• orthonormal basis
• Bloch sphere
• Mixed states
• random quantum circuits
• nearest-neighbor connectivity
• Clifford gates
• Analog Quantum Simulation
• Digital Quantum Simulation
• quantum phase estimation algorithm
• quantum repeater protocols
• NISQ
• photonic quantum Computing
• BB84
• E91
• Schrödinger simulations
• Schrödinger-Feynman simulations
• QPCA
• entaglement witness
• nv-centre
• Ising model
• bosonic particles
• sg setup
• b-field
• bohr magneton
• Johnson-Nyquist noise
• free-fall test
• quantum carpet

Math Skills You Need for Quantum Computing - Anastasia Marchenkova