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/ssvqe
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SSVQE Algorithm

Subspace-Search VQE (SSVQE) What You'll Learn: How to find multiple eigenstates in a single optimization, not sequential...

AdvancedChemistry+3
qiskit40
/quantum-kernel
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Quantum Kernel Estimation

Quantum Kernel Estimation Overview Quantum kernels measure similarity between data points in a high-dimensional quantum ...

IntermediateMachine_Learning+4
qiskit20
/quantum-teleportation
10

Quantum Teleportation

Quantum Teleportation What You'll Learn: How to transfer a quantum state from one qubit to another using a shared entang...

BeginnerCommunication+2
qiskit31
/portfolio-optimization
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QAOA for Portfolio

QAOA for Portfolio Optimization What You'll Learn: How to encode financial portfolio selection as a QUBO problem on a qu...

IntermediateOptimization+3
qiskit40
/superdense-coding
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Superdense Coding

Superdense Coding What You'll Learn: How to send 2 classical bits of information by transmitting only 1 qubit — using a ...

BeginnerCommunication+2
qiskit22
/vqe-h2-peruzzo
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VQE H2 (Peruzzo 2014)

VQE H2 Ground State — Peruzzo et al. 2014 First-ever experimental VQE on a photonic quantum processor Finds the ground-s...

AdvancedResearch+4
qiskit20
/trainable-kernel
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Trainable Quantum Kernel

Trainable Quantum Kernel — KTA Optimization What You'll Learn: How adding learnable parameters to a quantum feature map ...

AdvancedMachine_Learning+4
pennylane40
/bernstein-vazirani
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Bernstein-Vazirani Algorithm

Bernstein-Vazirani Algorithm What You'll Learn: How to extract a hidden bit string from a black-box function using a sin...

BeginnerAlgorithm+4
qiskit42
/hadamard-test
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Hadamard Test

Hadamard Test > Prerequisites: Bell State (entanglement, controlled gates, measurement) The Idea Imagine you are given a...

IntermediateUtility+3
qiskit22
/deutsch-jozsa
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Deutsch-Jozsa Algorithm

Deutsch-Jozsa Algorithm What You'll Learn: How quantum parallelism and interference combine to solve a problem with one ...

BeginnerAlgorithm+4
qiskit33
/hardware-efficient-ansatz
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Hardware-Efficient Ansatz

Hardware-Efficient Ansatz (HEA) A parameterized quantum circuit designed for NISQ devices that uses native gate sets and...

AdvancedAnsatz+3
cirq45
/ghz-state
10

GHZ State

GHZ State What You'll Learn: How to extend quantum entanglement beyond two qubits, creating an "all-or-nothing" correlat...

BeginnerEntanglement+2
qiskit33
/steane-code
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Steane's 7-Qubit Code

Steane's 7-Qubit Code Overview Steane's code is a [[7,1,3]] CSS code — it encodes 1 logical qubit into 7 physical qubits...

IntermediateError_Correction+4
qiskit72
/qaoa-maxcut-farhi
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QAOA MaxCut (Farhi 2014)

QAOA MaxCut - Farhi, Goldstone, Gutmann (2014) Overview Faithful reproduction of the paper that introduced QAOA — the Qu...

AdvancedResearch+4
cirq40
/barren-plateaus
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Barren Plateau Detection

Barren Plateau Detection and Analysis What You'll Learn: Why gradient variance vanishes exponentially with qubit count i...

AdvancedAnsatz+4
cirq60
/expressibility
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Expressibility Analysis

Expressibility Analysis of Variational Quantum Ansatze Overview Expressibility quantifies how uniformly a parameterized ...

AdvancedAnsatz+4
cirq40
/multistate-vqe
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Multistate VQE

Multistate Contracted VQE (MC-VQE) What You'll Learn: How to find multiple eigenstates simultaneously using a contracted...

AdvancedChemistry+3
qiskit40
/kernel-alignment
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Kernel-Target Alignment

Kernel-Target Alignment Optimization What You'll Learn: How centered kernel-target alignment (CKA) measures how well a k...

AdvancedMachine_Learning+5
pennylane40
/h2o-ground-state
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VQE for H2O Molecule

VQE for H2O Molecule Ground State What You'll Learn: How active space reduction brings a 10-electron molecule down to 4 ...

IntermediateChemistry+4
qiskit40
/lih-ground-state
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VQE for LiH Molecule

VQE for LiH Molecule Ground State What You'll Learn: How to scale VQE from 2 qubits (H2) to 4 qubits (LiH) How hardware-...

IntermediateChemistry+3
qiskit40
/projected-quantum-kernel
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Projected Quantum Kernel

Projected Quantum Kernel — IQP Encoding with Classical Projection What You'll Learn: Why projecting to classical space b...

AdvancedMachine_Learning+4
pennylane40
/shor-code
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Shor's 9-Qubit Code

Shor's 9-Qubit Code Overview Shor's code is the first quantum error correcting code (1995), proving that quantum informa...

IntermediateError_Correction+4
qiskit91
/quantum-kernel-svm
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Quantum Kernel SVM

Quantum Kernel SVM — Classification in Hilbert Space What You'll Learn: How quantum kernels K(x,y) = |⟨φ(x)|φ(y)⟩|² enab...

AdvancedMachine_Learning+4
pennylane40
/amplitude-encoding
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Amplitude Encoding

Amplitude Encoding Overview Amplitude encoding is the most compact quantum data encoding: it stores N classical values i...

IntermediateMachine_Learning+4
qiskit30
/phase-estimation
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Quantum Phase Estimation

Quantum Phase Estimation (QPE) > Prerequisites: Quantum Fourier Transform -- QPE uses the inverse QFT as its core readou...

AdvancedAlgorithm+4
qiskit41
/fidelity-kernel
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Fidelity Kernel (SWAP Test)

Fidelity Quantum Kernel — SWAP Test What You'll Learn: How the SWAP test uses quantum interference to measure state over...

AdvancedMachine_Learning+4
pennylane50
/qaoa-mixer
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QAOA Mixer Ansatz

QAOA Mixer Ansatz — X-Mixer and XY-Mixer What You'll Learn: How QAOA alternates cost and mixer unitaries to approximate ...

AdvancedAnsatz+4
cirq40
/phase-flip-code
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3-Qubit Phase Flip Code

3-Qubit Phase-Flip Code Overview The 3-qubit phase-flip code protects against single Z (phase-flip) errors by encoding o...

IntermediateError_Correction+3
qiskit32
/angle-encoding
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Angle Encoding

Angle Encoding (Rotation Encoding) Overview Angle encoding is the simplest and most hardware-efficient quantum data enco...

IntermediateMachine_Learning+4
qiskit40
/maxcut
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QAOA for MaxCut

QAOA for MaxCut Problem What You'll Learn: How QAOA encodes combinatorial optimization problems into quantum circuits Ho...

IntermediateOptimization+3
qiskit40
/variational-classifier
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Variational Quantum Classifier

Variational Quantum Classifier What You'll Learn: How to encode classical data into quantum states using rotation gates ...

IntermediateMachine_Learning+4
qiskit20
/uccsd-ansatz
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UCCSD Ansatz

UCCSD Ansatz What You'll Learn: How the gold-standard quantum chemistry ansatz encodes electron correlation into a param...

AdvancedAnsatz+3
cirq40
/knapsack
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QAOA for Knapsack

QAOA for 0/1 Knapsack Problem What You'll Learn: How to map a constrained optimization problem to an unconstrained QUBO ...

IntermediateOptimization+3
qiskit30
/surface-code
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Surface Code (Distance-3)

Surface Code (Distance-3) Overview The surface code is a topological quantum error correcting code and the leading candi...

IntermediateError_Correction+5
qiskit171
/bell-state
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Bell State

Bell State What You'll Learn: How to create quantum entanglement — the phenomenon Einstein called "spooky action at a di...

BeginnerEntanglement+2
qiskit21
/lih-excited-states
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LiH Excited States

VQE for LiH Excited States — 4-Qubit VQD What You'll Learn: How VQD scales from 2-qubit H2 to 4-qubit LiH with a richer ...

AdvancedChemistry+3
qiskit40
/variational-classifier-mitarai
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Quantum Circuit Learning (Mitarai 2018)

Quantum Circuit Learning - Mitarai et al. 2018 Overview Faithful reproduction of the Quantum Circuit Learning (QCL) pape...

AdvancedResearch+4
pennylane40
/heh-plus-ground-state
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VQE for HeH+ Ion

VQE for HeH+ Molecule Ground State What You'll Learn: How VQE handles heteronuclear molecules with asymmetric Hamiltonia...

IntermediateChemistry+4
qiskit20
/h2-ground-state
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VQE for H2 Molecule

VQE for H2 Molecule Ground State What You'll Learn: How the Variational Quantum Eigensolver (VQE) combines quantum circu...

IntermediateChemistry+3
qiskit20
/h2-excited-states
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H2 Excited States (VQD)

VQE for H2 Excited States — Variational Quantum Deflation (VQD) What You'll Learn: How to find excited states of molecul...

AdvancedChemistry+4
qiskit20
/graph-coloring
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QAOA for Graph Coloring

QAOA for Graph 2-Coloring What You'll Learn: How QAOA encodes constraint satisfaction problems into quantum circuits How...

IntermediateOptimization+3
qiskit40
/data-reuploading-classifier
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Data Re-uploading (Pérez-Salinas 2020)

Data Re-uploading Quantum Classifier Reproduction of Perez-Salinas et al. (2020) — demonstrating that a single qubit wit...

AdvancedResearch+3
pennylane10
/data-reuploading
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Data Re-uploading Classifier

Data Re-uploading Classifier Overview Data re-uploading is a quantum classification technique that achieves universal ap...

IntermediateMachine_Learning+4
qiskit10
/beh2-ground-state
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VQE for BeH2 Molecule

VQE for BeH2 Molecule Ground State What You'll Learn: How to scale VQE from 4 qubits (LiH) to 6 qubits (BeH2) How the pa...

IntermediateChemistry+3
qiskit60
/tsp
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QAOA for TSP

QAOA for Traveling Salesman Problem (TSP) What You'll Learn: How QAOA handles constrained optimization (not just simple ...

IntermediateOptimization+3
qiskit40
/quantum-fourier-transform
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Quantum Fourier Transform

Quantum Fourier Transform (QFT) What You'll Learn: How the quantum analog of the Fourier transform works — the key subro...

IntermediateTransform+3
qiskit41
/vqd-algorithm
00

VQD Algorithm

Variational Quantum Deflation (VQD) — General Implementation What You'll Learn: How VQD scales to larger systems (4 qubi...

AdvancedChemistry+3
qiskit40
/bit-flip-code
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3-Qubit Bit Flip Code

3-Qubit Bit-Flip Code What You'll Learn: How quantum error correction encodes logical qubits into physical qubits How sy...

IntermediateError_Correction+3
qiskit31
/quantum-advantage-kernel
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Quantum Kernel Advantage (Huang 2021)

Quantum Advantage in Learning - Huang et al. 2021 Overview Reproduction of the quantum kernel advantage paper -- establi...

AdvancedResearch+4
qiskit40
/grover-search
10

Grover's Search Algorithm

Grover's Search Algorithm What You'll Learn: How a quantum computer can search an unstructured database of N items in ju...

IntermediateAlgorithm+4
qiskit20