ASR are tech that helps make transcripts from speech

After a brief survey of current literature, it appears that no standardized benchmarks for ASR on clinical data exists that are widely used. Given the vast resources available from the TalkBank corpus, it is not infeasible to build such a corpus and evaluate the performance of a few commercial ASR systems in its ability to perform such a task.

Despite there not being a single baseline that works to benchmark ASR on clinical datasets, a few different subsets of efforts exists on each component of this front.

associative means that operations can be grouped in any way as long as order is preserved.

That is:

\begin{equation} (AB)C = A(BC) \end{equation}

Intuition:

• \(O\): \(\leq\)
• \(\theta\): \(=\)
• \(\Omega\): \(\geq\)

Definitions:

• \(f(n) = O(g(n)) \implies \exists n_{0}: \forall n > n_0, f(n) \leq c (g(n))\)
• \(f(n) = \Omega(g(n)) \implies \exists n_{0}: \forall n > n_0, f(n) \geq c (g(n))\)
• \(f(n) = \theta(g(n)) \implies \exists n_{0}: \forall n > n_0, f(n) \geq 1 (g(n)), f(n) \leq c (g(n))\)

~

Given functions \(f(n)\) and \(g(n)\), if:

\begin{equation} \lim_{n\to \infty} \left(\frac{f(n)}{g(n)}\right) = 1 \end{equation}

we say that \(f \sim g\).

You can use atoms as many different types of qubits.

manipulating physical qubits

To make physical qubits go to different states, we will again use something in the ancillary states. Rotating it to \(z\) — leverage one lazer to make it fall; \(rx\), \(ry\), we leverage combinations of two light.

various qubit implementations

Implementations of physical qubits

possible uses for qubits

Here are some possible uses for physical qubits