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chore: clean up noise doc #1810

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Dec 13, 2024
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chore: clean up noise doc #1810

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fix link rendering
natestemen Nov 21, 2024
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use consistent anchor text for links
natestemen Nov 21, 2024
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natestemen Nov 21, 2024
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Merge branch 'master' into nts-noise-docs
jselig-rigetti Dec 13, 2024
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17 changes: 6 additions & 11 deletions docs/source/noise.rst
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Expand Up @@ -49,9 +49,7 @@ where :math:`p\in [0,1]` gives the classical probability that the state is :math

Note that classical uncertainty in the wavefunction is markedly different from superpositions. We can represent
superpositions using wavefunctions, but use density matrices to describe distributions over wavefunctions. You can read
more about density matrices here [DensityMatrix]_.

.. [DensityMatrix] https://en.wikipedia.org/wiki/Density_matrix
more about density matrices `here <https://en.wikipedia.org/wiki/Density_matrix>`__.

Quantum Gate Errors
===================
Expand Down Expand Up @@ -80,9 +78,9 @@ quantum gate errors:
:math:`\rho`. Maps expressed in the above form are called Kraus maps.
It can be shown that every physical map on a finite dimensional
quantum system can be represented as a Kraus map, though this
representation is not generally unique. `You can find more
representation is not generally unique. You can find more
information about quantum operations
here <https://en.wikipedia.org/wiki/Quantum_operation#Kraus_operators>`__
`here <https://en.wikipedia.org/wiki/Quantum_operation#Kraus_operators>`__.

In a way, coherent errors are *in principle* amendable by more precisely
calibrated control. Incoherent errors are more tricky.
Expand Down Expand Up @@ -574,8 +572,6 @@ good starting point.**

.. image:: images/GateNoiseModels_20_1.png

.. end import from GateNoiseModel.ipynb

************************
Adding Decoherence Noise
************************
Expand Down Expand Up @@ -785,8 +781,7 @@ Qubit measurements
This section provides the necessary theoretical foundation for
accurately modeling noisy quantum measurements on superconducting
quantum processors. It relies on some of the abstractions (density
matrices, Kraus maps) introduced in our notebook on `gate noise
models <https://github.com/rigetti/forest-tutorials/notebooks/GateNoiseModels.ipynb>`__.
matrices, Kraus maps) introduced above in `Noisy gates on the QVM`_.

The most general type of measurement performed on a single qubit at a
single time can be characterized by some set :math:`\mathcal{O}` of
Expand Down Expand Up @@ -846,7 +841,7 @@ map:
The completeness of the projector set ensures that the trace of the
post measurement is still 1 and the Kraus map form of this expression
ensures that :math:`\rho_{\text{post measurement}}` is a positive
(semi-)definite operator.
semi-definite operator.

Classical Readout Bit-Flip Error
================================
Expand Down Expand Up @@ -937,7 +932,7 @@ Further reading
===============

Chapter 3 of John Preskill's lecture notes
http://www.theory.caltech.edu/people/preskill/ph229/notes/chap3.pdf
http://theory.caltech.edu/~preskill/ph219/chap3_15.pdf

**************************
Working with readout noise
Expand Down
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