Merge pull request #546 from 1ucian0/typo/1

i.e. style

source/language/classical.rst

@@ -291,7 +291,7 @@ iterations of the loop ``body``.  ``values`` can be:
   an alias to classical bits.  The corresponding scalar type of the loop
   variable is ``bit``, as appropriate.
 
-- a value of type ``array[<scalar>, n]``, _i.e._ a one-dimensional
+- a value of type ``array[<scalar>, n]``, *i.e.* a one-dimensional
   array.  Values of type ``scalar`` must be able to be implicitly promoted to
   values of type ``type``.  Modification of the loop variable does not change
   the corresponding value in the array.

source/language/insts.rst

@@ -8,7 +8,7 @@ Initialization
 
 The statement ``reset qubit|qubit[];`` resets a qubit or quantum register to the state
 :math:`|0\rangle`. This corresponds to a partial trace over those qubits
-(i.e. discarding them) before replacing them with
+(*i.e.* discarding them) before replacing them with
 :math:`|0\rangle\langle 0|`. Reset is shown in :numref:`fig_prepare`.
 
 .. code-block::

source/language/openpulse.rst

@@ -92,12 +92,12 @@ frame of a Hamiltonian, throughout the execution of a program. Openpulse provide
 
 - Tracking time appropriately so programs do not need to deal in absolute time or with the
   bookkeeping of advancing time in a sequence of pulses.
-- Tracking accrued phase by producing a complex value given an input time (i.e. via the mathematical
+- Tracking accrued phase by producing a complex value given an input time (*i.e.* via the mathematical
   relationship :math:`e^{i\left(2\pi f t + \theta\right)}`,  where `f` is frequency and
   :math:`\theta` is the accrued phase). In this way,  a ``frame`` type behaves analogously to
   a `numerically-controlled oscillator (NCO) <https://en.wikipedia.org/wiki/Numerically-controlled_oscillator>`_).
   One motivation for keeping track of accrued phase is to allow pulses to be defined in the rotating frame with the
-  effect being an equivalent application in the lab frame (i.e. with the carrier supplied by the ``frame``).
+  effect being an equivalent application in the lab frame (*i.e.* with the carrier supplied by the ``frame``).
   Another motivation is to more naturally implement a "virtual Z-gate", which does not require a physical pulse but
   rather shifts the phase of all future pulses on that frame.
 
@@ -327,9 +327,9 @@ only appear inside a ``defcal`` block and have two required parameters:
 - The frame to use for the pulse.
 - A value of type ``waveform`` representing the waveform envelope.
 
-Here, the ``frame`` provides the time at which the ``waveform`` envelope is scheduled (i.e. via
-the frame's current ``time``), its carrier frequency (i.e. via the frames current ``frequency``),
-and its phase offset (i.e. via the frame's current ``phase``).
+Here, the ``frame`` provides the time at which the ``waveform`` envelope is scheduled (*i.e.* via
+the frame's current ``time``), its carrier frequency (*i.e.* via the frames current ``frequency``),
+and its phase offset (*i.e.* via the frame's current ``phase``).
 
 .. code-block:: openpulse
 
@@ -798,7 +798,7 @@ an acousto-optic deflector (AOD). The EOMs put sidebands on the laser light whil
 the light in an amount proportional to the frequency of the RF drive. This example was chosen
 because it is similar in spirit to the work by Levine et al._:cite:`levine2019` except that phase
 control is exerted using virtual Z gates on the AODs -- requiring frame tracking of the qubit
-frequency yet application of a tone that maps to the qubit position (i.e. requires the use of a
+frequency yet application of a tone that maps to the qubit position (*i.e.* requires the use of a
 sideband).
 
 The program aims to perform a Hahn echo sequence on q1, and a Ramsey sequence on q2 and q3.

source/language/types.rst

@@ -168,7 +168,7 @@ hold over permutations of physical qubit labels. Thus, physical qubits cannot be
 compiler or hardware provider without opt-in from the programmer.
 
 Note that while physical circuits require physical qubits, the converse need not be true. A circuit
-that would require routing or gate decomposition to run (i.e., does not have a ``defcal`` for every
+that would require routing or gate decomposition to run (*i.e.*, does not have a ``defcal`` for every
 operation in the circuit) would by definition not be a physical circuit. However, physical qubits
 can still be used in such circuits.
 
@@ -857,7 +857,7 @@ Index sets and slicing
 Register concatenation and slicing
 ----------------------------------
 
-Two or more registers of the same type (i.e. classical or quantum) can
+Two or more registers of the same type (*i.e.* classical or quantum) can
 be concatenated to form a register of the same type whose size is the
 sum of the sizes of the individual registers. The concatenated register
 is a reference to the bits or qubits of the original registers. The
@@ -865,7 +865,7 @@ statement ``a ++ b`` denotes the concatenation of registers ``a`` and ``b``. A r
 be concatenated with any part of itself.
 
 Classical and quantum registers can be indexed in a way that selects a
-subset of (qu)bits, i.e. by an index set. A register so indexed is
+subset of (qu)bits, *i.e.* by an index set. A register so indexed is
 interpreted as a register of the same type but with a different size.
 The register slice is a reference to the original register. A register
 cannot be indexed by an empty index set.