Generative Data Intelligence

Tag: Convex

Bounding the quantum capacity with flagged extensions

Quantum 6, 647 (2022).

https://doi.org/10.22331/q-2022-02-09-647

In this article we consider flagged extensions of convex combination of quantum channels, and find general sufficient conditions for the degradability of the flagged extension. An immediate application is a bound on the quantum $Q$ and private $P$ capacities of any channel being a mixture of a unitary map and another channel, with the probability associated to the unitary component being larger than $1/2$. We then specialize our sufficient conditions to flagged Pauli channels, obtaining a family of upper bounds on quantum and private capacities of Pauli channels. In particular, we establish new state-of-the-art upper bounds on the quantum and private capacities of the depolarizing channel, BB84 channel and generalized amplitude damping channel. Moreover, the flagged construction can be naturally applied to tensor powers of channels with less restricting degradability conditions, suggesting that better upper bounds could be found by considering a larger number of channel uses.

[SPONSORED] Fundamental Labs: Empowering Web 3.0 mass adoption and looking beyond 2022

Venture capital firm, Fundamental Labs launched its Fundamental Labs Fund V – the fifth in its  series of funds that kicked off in 2016. It was constituted within one month with a medium size of  $50M. Fundamental Labs’ investment philosophy is anchored around being a long-term, strategic,  value investor. Short-term speculation is not its approach so remains phase agnostic.  

The post Fundamental Labs: Empowering Web 3.0 mass adoption and looking beyond 2022 appeared first on The Block.

Market highlights February 4: Cosmos is the biggest top 20 gainer

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The post Market highlights February 4: Cosmos is the biggest top 20 gainer appeared first on Coin Journal.

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The post Grayscale Considering 25 More Crypto Assets for Investment Products – Altcoins Bitcoin News appeared first on Bitcoin Upload.

Crypto Platform, Uphold, Lists New Assets Including SHIB

Crypto Platform, Uphold, Lists New Assets Including SHIB

E-Crypto News' update provides the latest articles on technology and cryptocurrencies.

e-cryptonews.com

Continue reading Crypto Platform, Uphold, Lists New Assets Including SHIB at E-Crypto News.

Value Locked in Defi Slides 21% in 2 Weeks, $200B TVL Still 10x Larger Than This Time Last Year

Value Locked in Defi Slides 21% in 2 Weeks, $200B TVL Still 9x Larger Than This Time Last YearThe value locked in decentralized finance (defi) has dropped 21.22% since January 4, 2022. At the time, the total value locked (TVL) in defi was $255.84 billion and today, the TVL is around $201.55 billion. TVL in Defi Loses $54 Billion in 2 Weeks While digital currency markets shed significant value during the last two […]

DeFi – Reflections on 2021 and the Road Ahead

It’s fair to say that crypto has brought us many surprises over the last year. Many expected DeFi to go mainstream in 2021, and while major corporations and institutions started to take an interest in Ethereum and the DeFi ecosystem running on top of it, there’s little doubt that NFTs stole the spotlight. In fact, […]

The post DeFi – Reflections on 2021 and the Road Ahead appeared first on The Daily Hodl.

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