Q# User Guide: Phase 1

Brought together Quantum Development Techniques and Q# Programming Language sections, made it much more cohesive. Fixes #660 and #658.
I think we should get this new centralized presentation of the information live ASAP, so I've split the goals here into two phases. This PR is for Phase 1, whereas Phase 2 is a few potential small and large additions for the future which I think will be very useful docs to have in general. #743 will become the workspace for Phase 2, see the goals mind for it there.
The few things to do for this one:

[ ]  @Bradben is figuring out what it is about the Q# Programming Language page which leads to it being our de-facto landing page from search

incorporate that into one of these pages, likely the Q# Basics page or Contents/Overview.

[ ] move Quantum Simulators... section in (how reference this in the toc.yml without moving the folder in?)

add those respective links/info to Contents/Overview page

[ ] redirects and deleting the old folders/files

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Can someone get me approved for the network so I don't have to keep bothering you guys here. If I wasn't homeless on a $50 phone with half a million hackers sabatoging my life, I could be of some assistance. You all may know the math, but I know English and quantum mechanics and need this system up and running before the invisible wizards have erased everything I've accomplished life from any record but word of mouth.
Sent from Outlook Mobilehttps://aka.ms/blhgte

From: geduardo<EMAIL_ADDRESS>Sent: Tuesday, May 5, 2020 3:06:32 PM
To: MicrosoftDocs/quantum-docs-pr<EMAIL_ADDRESS>Cc: Subscribed<EMAIL_ADDRESS>Subject: Re: [MicrosoftDocs/quantum-docs-pr] Q# User Guide: Phase 1 (#785)
@geduardo commented on this pull request.
Looks great, much better than our current organization. I left some comments about the content and some about the organization. You don't need to address them all in this phase, only those that have a quick fix.
I like the section Quick Reference, but we should add more material there. What about a cheatsheet?

In articles/user-guide/basics.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r419591355:

+By design, Q# thus does not define quantum states or other properties of quantum mechanics directly.

+For instance, consider the state $\ket{+} = \left(\ket{0} + \ket{1}\right) / \sqrt{2}$ discussed in the Quantum Computing Concepts guide.
+To prepare this state in Q#, we use the facts that the qubits are initialized in the $\ket{0}$ state, and that $\ket{+} = H\ket{0}$, where $H$ is the Hadamard transform, implemented by the [H operation](](xref:microsoft.quantum.intrinsic.h):

+```qsharp
+using (qubit = Qubit()) {

// At this point, qubit is in the state |0⟩.

H(qubit);

// We've now applied H, such that our qubit is in H|0⟩ = |+⟩, as we wanted.

+}
+```

+## Quantum states in Q#

+Importantly, in writing the above program, we did not explicitly refer to the state within Q#, but rather described how the state was transformed by our program.
+Thus, similar to how a graphics shader program accumulates a description of transformations to each vertex, a quantum program in Q# accumulates transformations to quantum states.
⬇ Suggested change
-Thus, similar to how a graphics shader program accumulates a description of transformations to each vertex, a quantum program in Q# accumulates transformations to quantum states.
Is this analogy really useful? I don't know how many of the users are going to know how graphic shaders work.

In articles/user-guide/index.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420259342:

+Here we detail the core concepts of the Q# language as well provide all the information you need to start writing your own quantum programs.

+## User Guide Contents

+- Q# Basics: an introductory overview of the purpose and functionality of the Q# programming language.

+### Q# Language

+- Types in Q#: lays out the Q# type model and describes the syntax for specifying and working with types.

+- Type Expressions: details how to specify, reference, combine, and operate on values of each type in Q#.

+### Using Q#

+- Q# File Structure: describes the structure and syntax of a .qs Q# file.
⬇ Suggested change
-- Q# File Structure: describes the structure and syntax of a .qs Q# file.
+- Q# File Structure: describes the structure and syntax of a *.qs Q# file.

In articles/user-guide/index.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420260090:

+## User Guide Contents

+- Q# Basics: an introductory overview of the purpose and functionality of the Q# programming language.

+### Q# Language

+- Types in Q#: lays out the Q# type model and describes the syntax for specifying and working with types.

+- Type Expressions: details how to specify, reference, combine, and operate on values of each type in Q#.

+### Using Q#

+- Q# File Structure: describes the structure and syntax of a .qs Q# file.

+- Operations and Functions: details the two callable types of the Q# language: operations, which include action on qubits and quantum systems; and functions, which strictly work with classical information.
⬇ Suggested change
-- Operations and Functions: details the two callable types of the Q# language: operations, which include action on qubits and quantum systems; and functions, which strictly work with classical information.
+- Operations and Functions: details the two callable types of the Q# language: operations, which include action on qubit registers and functions, which strictly work with classical information.

In articles/user-guide/index.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420264515:

@@ -0,0 +1,61 @@

+---
+title: The Q# User Guide
+description: Overview of the User Guide's purpose and contents
+author: gillenhaalb
+ms.author<EMAIL_ADDRESS>+ms.date: 03/05/2020
+ms.topic: article
+uid: microsoft.quantum.guide
+---

+# The Q# User Guide

+Welcome to the Q# User Guide!

+Here we detail the core concepts of the Q# language as well provide all the information you need to start writing your own quantum programs.
⬇ Suggested change
-Here we detail the core concepts of the Q# language as well provide all the information you need to start writing your own quantum programs.
+Here we detail the core concepts of the Q# language and all the information you need to write quantum programs.
I would tone a bit down the "tutorialish" vibe in the Q# User Guide, since we want it to be also a reference place were to look up things.

In articles/user-guide/index.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420265386:

+### Q# Language

+- Types in Q#: lays out the Q# type model and describes the syntax for specifying and working with types.

+- Type Expressions: details how to specify, reference, combine, and operate on values of each type in Q#.

+### Using Q#

+- Q# File Structure: describes the structure and syntax of a .qs Q# file.

+- Operations and Functions: details the two callable types of the Q# language: operations, which include action on qubits and quantum systems; and functions, which strictly work with classical information.

Here you see how to define and call them, including the adjoint and controlled versions of quantum operations.

+- Variables: describes the role of variables within Q# programs and how to leverage them effectively.

For example, you will learn about binding scopes, as well as the difference between immutable/mutable variables and how to assign/re-assign them.

⬇ Suggested change

For example, you will learn about binding scopes, as well as the difference between immutable/mutable variables and how to assign/re-assign them.

For example, you can find information about binding scopes, as well as the difference between immutable/mutable variables and how to assign/re-assign them.

In articles/user-guide/index.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420266482:

+- Types in Q#: lays out the Q# type model and describes the syntax for specifying and working with types.

+- Type Expressions: details how to specify, reference, combine, and operate on values of each type in Q#.

+### Using Q#

+- Q# File Structure: describes the structure and syntax of a .qs Q# file.

+- Operations and Functions: details the two callable types of the Q# language: operations, which include action on qubits and quantum systems; and functions, which strictly work with classical information.

Here you see how to define and call them, including the adjoint and controlled versions of quantum operations.

+- Variables: describes the role of variables within Q# programs and how to leverage them effectively.

For example, you will learn about binding scopes, as well as the difference between immutable/mutable variables and how to assign/re-assign them.

+- Working with qubits: describes the features of Q# that you can use to address individual qubits and systems of qubits.
⬇ Suggested change
-- Working with qubits: describes the features of Q# that you can use to address individual qubits and systems of qubits.
+- Working with qubits: describes the features of Q# to address individual qubits and systems of qubits.

In articles/user-guide/using-qsharp/control-flow.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420271565:

+It works decidedly less well to try and take your socks off while you're still wearing your shoes!

+## If, Else-if, Else

+The if statement supports conditional execution.
+It consists of the keyword if, an open parenthesis (, a Boolean expression, a close parenthesis ), and a statement block (the then block).
+This may be followed by any number of else-if clauses, each of which consists of the keyword elif, an open parenthesis (, a Boolean expression, a close parenthesis ), and a statement block (the else-if block).
+Finally, the statement may optionally finish with an else clause, which consists of the keyword else followed by another statement block (the else block).

+The if condition is evaluated, and if it is true, the then block is executed.
+If the condition is false, then the first else-if condition is evaluated; if it is true, that else-if block is executed.
+Otherwise, the second else-if block is tested, and then the third, and so on until either a clause with a true condition is encountered or there are no more else-if clauses.
+If the original if condition and all else-if clauses evaluate to false, the else block is executed if one was provided.

+Note that whichever block is executed is executed in its own scope.
+Bindings made inside of an if, elif, or else block are not visible after its end.
⬇ Suggested change
-Bindings made inside of an if, elif, or else block are not visible after its end.
+Bindings made inside of an if, elif, or else then block are not visible after its end.
Maybe we should add an example showing this property here.

In articles/user-guide/using-qsharp/control-flow.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420278578:

+```qsharp

+// ...
+for (qubit in qubits) {  // iterate over each qubit value in the array qubits

H(qubit);

+}

+mutable results = new (Int, Results)[Length(qubits)];
+for (index in 0 .. Length(qubits) - 1) {  // iterates over the integers in the Range 0 .. (Length(qubits) - 1)

set results w/= index <- (index, M(qubits[index])); // measure each qubit, updates the tuple value in the results array that at index

+}

+mutable accumulated = 0;
+for ((index, measured) in results) { // iterates over the tuple values in results

if (measured == One) {

   set accumulated += 1 <<< index;

}

+}
+```
Split the examples into three different blocks to improve readability.
(Due to Markdown triggers in the GitHub comments I can't properly add the suggestion)

In articles/user-guide/using-qsharp/control-flow.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420280206:

+As an example, it is easy to implement so-called Repeat-Until-Success (RUS) patterns in Q#.

+These RUS patterns are probabilistic programs that have an expected low cost in terms of elementary gates, but for which the true cost depends on an actual run and an actual interleaving of various possible branchings.

+To facilitate Repeat-Until-Success (RUS) patterns, Q# supports the constructs

+```qsharp
+repeat {

statementBlock1

+}
+until (expression)
+fixup {

statementBlock2

+}
+```

+where statementBlock1 and statementBlock2 are zero or more Q# statements, and expression is any valid expression that evaluates to a value of type Bool.
⬇ Suggested change
-where statementBlock1 and statementBlock2 are zero or more Q# statements, and expression is any valid expression that evaluates to a value of type Bool.
+where statementBlock1 and statementBlock2 are Q# statements, and expression is any valid expression that evaluates to a value of type Bool.

In articles/user-guide/using-qsharp/control-flow.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420282557:

+To facilitate Repeat-Until-Success (RUS) patterns, Q# supports the constructs

+```qsharp
+repeat {

statementBlock1

+}
+until (expression)
+fixup {

statementBlock2

+}
+```

+where statementBlock1 and statementBlock2 are zero or more Q# statements, and expression is any valid expression that evaluates to a value of type Bool.
+The loop body is executed, and then the condition is evaluated.
+If the condition is true, then the statement is completed; otherwise, the fixup is executed, and the statement is re-executed starting with the loop body.
+Note that completing the execution of the fixup ends the scope for the statement, so that symbol bindings made during the body or fixup are not available in subsequent repetitions.
It doesn't clarify if the body of repeat and fixup share the same scope. From the Binding Scopes section of Variables I found:
All three portions of a repeat/until loop (the body, the test, and the fixup) are treated as a single scope, so symbols that are bound in the body are available in the test and in the fixup.
Maybe we should add something similar.

In articles/user-guide/using-qsharp/control-flow.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420350442:

+## What's Next?

+Learn about Testing and Debugging in Q#.
Do these What's Next? make sense in the guide? Tagging @KittyYeungQhttps://github.com/KittyYeungQ to hear her take.

In articles/user-guide/using-qsharp/file-structure.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420353256:

+A Q# file consists of a sequence of namespace declarations.

+Each namespace declaration contains declarations for user-defined types, operations, and functions.
+A namespace declaration may contain any number of each type of declaration, and in any order.
+Follow these links for more details on declaring user-defined types, operations, and functions within a namespace.
Probably this paragraph (and maybe this section) will need some refactoring with the new Standalone application. At least to comment the @entrypointhttps://github.com/entrypoint() stuff.

In articles/user-guide/using-qsharp/operations-functions.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420368192:

@@ -0,0 +1,685 @@

+---
+title: Operations and functions in Q#
+description: How to define and call operations and functions, as well the controlled and adjoint operation specializations.
+author: gillenhaalb
+ms.author<EMAIL_ADDRESS>+ms.date: 03/05/2020
+ms.topic: article
+uid: microsoft.quantum.guide.operationsfunctions
+---

+# Operations and Functions in Q#
This article seems too long for me. What do you think about splitting it into subarticles?
Something like:
Operations and Functions in Q#

Operations vs Functions
Adjoint and Controlled functors
Callables

In articles/user-guide/language/expressions.mdhttps://github.com/MicrosoftDocs/quantum-docs-pr/pull/785#discussion_r420372813:

mutable row = new Int[i];

for (j in 1..i) {

   set row w/= j-1 <- i * j;

}

set multiplicationTable w/= i-1 <- row;

I can't find an explanation of the use of the equal sign for w/=... at least in this page, just w\
—
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