Bloqs Library

qualtran.bloqs contains implementations of quantum operations and subroutines.

Concepts:

• Unary Iteration
• T Complexity Of Comparison Gates
• Error propagation analysis for Fixed point arithmetic using fxpmath
• Phase Estimation of Quantum Walks
• Trotter Costs
• A Guide to Resource Estimation for Quantum Chemical Hamiltonians
• Writing and Optimizing Fault Tolerant Chemistry Algorithms with Qualtran
• Factoring and Shor’s Algorithm
• Controlled state preparation using rotations

Basic Gates:

• T Gate
  • TGate
• Toffoli
  • Toffoli
• Hadamard
  • Hadamard
• CNOT
  • CNOT
• S Gate
  • SGate
• And
  • And
  • MultiAnd
  • Additional Demos
• States and Effects
  • ZeroState
  • ZeroEffect
  • OneState
  • OneEffect
  • IntState
  • IntEffect
  • PlusState
  • PlusEffect
  • MinusState
  • MinusEffect
  • Properties and Relations
• Swap Network
  • CSwap
  • CSwapApprox
  • SwapWithZero
  • MultiplexedCSwap
• Global Phase
  • GlobalPhase

Chemistry:

• Sparse
  • PrepareSparse
  • SelectSparse
• Single Factorization
  • SingleFactorizationOneBody
  • SingleFactorizationBlockEncoding
• Double Factorization
  • DoubleFactorizationOneBody
  • DoubleFactorizationBlockEncoding
• Tensor Hypercontraction
  • UniformSuperpositionTHC
  • PrepareTHC
  • SelectTHC
• First Quantized Hamiltonian
  • PrepareFirstQuantization
  • SelectFirstQuantization
  • PrepareTFirstQuantization
  • PrepareUVFirstQuantization
  • SelectTFirstQuantization
  • SelectUVFirstQuantization
• First Quantized Hamiltonian with Quantum Projectile
  • PrepareFirstQuantizationWithProj
  • SelectFirstQuantizationWithProj
• Trotter Bloqs
  • PolynmomialEvaluationInverseSquareRoot
  • NewtonRaphsonApproxInverseSquareRoot
  • QuantumVariableRotation
  • KineticEnergy
  • PairPotential
  • PotentialEnergy
• Trotterization
  • TrotterizedUnitary
• Ising Trotter Bloqs
  • IsingXUnitary
  • IsingZZUnitary
• Trotterized Hubbard
  • HoppingTile
  • Interaction
  • HoppingPlaquette

Arithmetic:

• Addition
  • Add
  • OutOfPlaceAdder
  • AddConstantMod
  • SimpleAddConstant
• Multiplication
  • PlusEqualProduct
  • Product
  • Square
  • SumOfSquares
  • ScaleIntByReal
  • MultiplyTwoReals
  • SquareRealNumber
• Comparison
  • GreaterThan
  • GreaterThanConstant
  • EqualsAConstant
  • LessThanConstant
  • BiQubitsMixer
  • SingleQubitCompare
  • LessThanEqual
• Sorting
  • Comparator
  • BitonicSort
• Conversions
  • SignedIntegerToTwosComplement
  • ToContiguousIndex
• Modular Exponentiation
  • ModExp
• Modular Multiplication
  • CtrlModMul
• Elliptic Curve Cryptography
  • FindECCPrivateKey
  • ECPhaseEstimateR
  • ECAddR
  • ECWindowAddR
• Elliptic Curve Addition
  • ECAdd

Rotations:

• Basic Rotation Gates
  • XPowGate
  • YPowGate
  • ZPowGate
• SU2 Rotation
  • SU2RotationGate
• Quantum Variable Rotation
  • QvrZPow
  • QvrPhaseGradient
  • QVR Cost analysis
• Phasing via Cost function
  • PhasingViaCostFunction
• Two Bit FFFT Gate
  • TwoBitFFFT
• Approximate QFT
  • ApproximateQFT
  • Approximate QFT Cost analysis
• Optimal resource states for Phase Estimation by A. Luis and J. Peřina
  • LPRSInterimPrep
  • LPResourceState
• Textbook Quantum Phase Estimation
  • TextbookQPE
  • Cost of TextbookQPE
  • Choosing number of control bits - \(m\).
  • Appendix
• Qubitization Walk Operator
  • QubitizationWalkOperator

Other:

• Prepare Uniform Superposition
  • PrepareUniformSuperposition
• Apply to Lth Target
  • ApplyGateToLthQubit
  • Decomposition
• QROM
  • QROM
• Block Encoding
  • BlackBoxBlockEncoding
  • ChebyshevPolynomial
• Reflection
  • Reflection
• Multi-Paulis
  • MultiTargetCNOT
  • MultiControlPauli
• Generic Select
  • SelectPauliLCU
• State Preparation via Alias Sampling
  • StatePreparationAliasSampling
• State Preparation Using Rotations
  • StatePreparationViaRotations
• Generalized Quantum Signal Processing
  • GeneralizedQSP
• Hamiltonian Simulation by Generalized Quantum Signal Processing
  • HamiltonianSimulationByGQSP