user123074: 
Currently, the bitcoin network does about 3-7 transactions per second. How much can taproot theoretically increase that?

Assuming a current throughput of 5 transactions per second, we get only about 150 million transactions per year. How can a population of 8 billion adopt the bitcoin standard if everyone wants to hold their own key?



user-1: 
Currently bitcoin is about 3-7 transactions per second, how much faster can taproot theoretical increase it to?

I do not consider transaction per second useful for Bitcoin and use outputs per day: https://bitcoinvisuals.com/chain-output-count-day
1,000,000 outputs per day. So, 11 outputs per second.
Block space savings with Taproot:

1 MB per day with schnorr signatures: https://web.archive.org/web/20201214095704/https://www.advancingbitcoin.com/blog/evolution-signature-size-bitcoin/

50% less size for multisig inputs


Other improvements related to Taproot:
Who would benefit from Taproot deployment?
Taproot and Large multisigs
Does the Taproot update benefit all bitcoin users? or is it for a selective amount of people
Will "Taproot" replace Lightning Network?

let say with a current speed of 5 transactions per second, that is only about 150 million transactions per year, how can a population of 8 billion adopt the bitcoin standard if everyone wants to hold their own key?

Holding the key doesn't require block space. Transactions on-chain require block space which is limited and will always be limited so that everyone can run a full node and Bitcoin remains decentralized.
Bitcoin scales in layers: On-chain, Lightning Network, Sidechains (Liquid, Rootstock)

123074: <ol>
<li><p>Currently, the bitcoin network does about 3-7 transactions per second. How much can taproot theoretically increase that?</p>
</li>
<li><p>Assuming a current throughput of 5 transactions per second, we get only about 150 million transactions per year. How can a population of 8 billion adopt the bitcoin standard if everyone wants to hold their own key?</p>
</li>
</ol>
 -1: <blockquote>
<p>Currently bitcoin is about 3-7 transactions per second, how much faster can taproot theoretical increase it to?</p>
</blockquote>
<p>I do not consider transaction per second useful for Bitcoin and use outputs per day: <a href="https://bitcoinvisuals.com/chain-output-count-day" rel="nofollow noreferrer">https://bitcoinvisuals.com/chain-output-count-day</a></p>
<p>1,000,000 outputs per day. So, 11 outputs per second.</p>
<p><strong>Block space savings with Taproot</strong>:</p>
<ol>
<li><p>1 MB per day with schnorr signatures: <a href="https://web.archive.org/web/20201214095704/https://www.advancingbitcoin.com/blog/evolution-signature-size-bitcoin/" rel="nofollow noreferrer">https://web.archive.org/web/20201214095704/https://www.advancingbitcoin.com/blog/evolution-signature-size-bitcoin/</a></p>
</li>
<li><p>50% less size for multisig inputs</p>
</li>
</ol>
<p><strong>Other improvements related to Taproot</strong>:</p>
<p><a href="https://bitcoin.stackexchange.com/q/105109/">Who would benefit from Taproot deployment?</a></p>
<p><a href="https://bitcoin.stackexchange.com/q/103805/">Taproot and Large multisigs</a></p>
<p><a href="https://bitcoin.stackexchange.com/q/106445/">Does the Taproot update benefit all bitcoin users? or is it for a selective amount of people</a></p>
<p><a href="https://bitcoin.stackexchange.com/q/105217/">Will &quot;Taproot&quot; replace Lightning Network?</a></p>
<blockquote>
<p>let say with a current speed of 5 transactions per second, that is only about 150 million transactions per year, how can a population of 8 billion adopt the bitcoin standard if everyone wants to hold their own key?</p>
</blockquote>
<p>Holding the key doesn't require block space. Transactions on-chain require block space which is limited and will always be limited so that everyone can run a full node and Bitcoin remains decentralized.</p>
<p>Bitcoin scales in layers: On-chain, Lightning Network, Sidechains (Liquid, Rootstock)</p>
