--- language: Q# contributors: - ["Vincent van Wingerden", "https://github.com/vivanwin"] - ["Mariia Mykhailova", "https://github.com/tcNickolas"] filename: LearnQSharp.qs --- Q# is a high-level domain-specific language which enables developers to write quantum algorithms. Q# programs can be executed on a quantum simulator running on a classical computer and (in future) on quantum computers. This is the new outline ```C# // Single-line comments start with // ///////////////////////////////////// // 1. Quantum data types and operators // The most important part of quantum programs is qubits. // In Q# type Qubit represents the qubits which can be used. // This will allocate an array of two new qubits as the variable qs. using (qs = Qubit[2]) { // The qubits have internal state that you cannot access to read or modify directly. // You can inspect the current state of your quantum program if you're running it on a classical simulator. // Note that this will not work on actual quantum hardware! DumpMachine(); // If you want to change the state of a qubit, you have to do this by applying quantum gates to the qubit. H(q[0]); // This changes the state of the first qubit from |0⟩ (the initial state of allocated qubits) to (|0⟩ + |1⟩) / sqrt(2). // q[1] = |1⟩; - this does NOT work, you have to manipulate a qubit by using gates. // You can apply multi-qubit gates to several qubits. CNOT(qs[0], qs[1]); // You can also apply a controlled version of a gate: a gate that is applied if all control qubits are in |1⟩ state. // The first argument is an array of control qubits, the second argument is the target qubit. Controlled Y([qs[0]], qs[1]); // If you want to apply an anti-controlled gate (a gate that is applied if all control qubits are in |0⟩ state), you can use a library function. ApplyControlledOnInt(0, X, [qs[0]], qs[1]); // To read the information from the quantum system, you use measurements. // Measurements return a value of Result data type: Zero or One. // You can print measurement results as a classical value. Message($"Measured {M(qs[0])}, {M(qs[1])}"); } ///////////////////////////////////// // 2. Classical data types and operators // Numbers in Q# can be stored in Int, BigInt or Double. let i = 1; // This defines an Int variable i equal to 1 let bi = 1L; // This defines a BigInt variable bi equal to 1 let d = 1.0; // This defines a Double variable d equal to 1 // Arithmetic is done as expected, as long as the types are the same let n = 2 * 10; // = 20 // Q# does not have implicit type cast, so to perform arithmetic on values of different types, you need to cast type explicitly let nd = IntAsDouble(2) * 1.0; // = 20.0 // Boolean type is called Bool let trueBool = true; let falseBool = false; // Logic operators work as expected let andBool = true and false; let orBool = true or false; let notBool = not false; // Strings let str = "Hello World!"; // Equality is == let x = 10 == 15; // is false // Range is a sequence of integers and can be defined like: start..step..stop let xi = 1..2..7; // Gives the sequence 1,3,5,7 // Assigning new value to a variable: // by default all Q# variables are immutable; // if the variable was defined using let, you cannot reassign its value. // When you want to make a variable mutable, you have to declare it as such, // and use the set word to update value mutable xii = true; set xii = false; // You can create an array for any data type like this let xiii = new Double[10]; // Getting an element from an array let xiv = xiii[8]; // Assigning a new value to an array element mutable xv = new Double[10]; set xv w/= 5 <- 1; ///////////////////////////////////// // 3. Control flow // If structures work a little different than most languages if (a == 1) { // ... } elif (a == 2) { // ... } else { // ... } // Foreach loops can be used to iterate over an array for (qubit in qubits) { X(qubit); } // Regular for loops can be used to iterate over a range of numbers for (index in 0 .. Length(qubits) - 1) { X(qubits[index]); } // While loops are restricted for use in classical context only mutable index = 0; while (index < 10) { set index += 1; } // Quantum equivalent of a while loop is a repeat-until-success loop. // Because of the probabilistic nature of quantum computing sometimes // you want to repeat a certain sequence of operations until a specific condition is achieved; you can use this loop to express this. repeat { // Your operation here } until (success criteria) // This could be a measurement to check if the state is reached fixup { // Resetting to the initial conditions, if required } ///////////////////////////////////// // 4. Putting it all together // Q# code is written in operations and functions operation ApplyXGate(source : Qubit) : Unit { X(source); } // If the operation implements a unitary transformation, you can define // adjoint and controlled variants of it. // The easiest way to do that is to add "is Adj + Ctl" after Unit. // This will tell the compiler to generate the variants automatically. operation ApplyXGateCA (source : Qubit) : Unit is Adj + Ctl { X(source); } // Now you can call Adjoint ApplyXGateCA and Controlled ApplyXGateCA. // To run Q# code, you can put @EntryPoint() before the operation you want to run first @EntryPoint() operation XGateDemo() : Unit { using (q = Qubit()) { ApplyXGate(q); } } // Here is a simple example: a quantum random number generator. // We will generate a classical array of random bits using quantum code. @EntryPoint() operation QRNGDemo() : Unit { mutable bits = new Int[5]; // Array we'll use to store bits using (q = Qubit()) { // Allocate a qubit for (i in 0 .. 4) { // Generate each bit independently H(q); // Apply Hadamard gate to prepare equal superposition let result = M(q); // Measure the qubit to get Zero or One with 50/50 probability let bit = result == Zero ? 0 | 1; // Convert measurement result to an integer set bits w/= i <- bit; // Write generated bit to an array } } Message($"{bits}"); // Print the result } ``` ## Further Reading The [Quantum Katas][1] offer great self-paced tutorials and programming exercises to learn quantum computing and Q#. [Q# Documentation][2] is official Q# documentation, including language reference and user guides. [1]: https://github.com/microsoft/QuantumKatas [2]: https://docs.microsoft.com/quantum/