Tag: Convex
Market highlights February 11: Inflation spooks investors, cryptos to finish the week strong
Despite most cryptos being in the red over the past 24 hours, it has…
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Bounding the quantum capacity with flagged extensions
Quantum 6, 647 (2022).
https://doi.org/10.22331/q-2022-02-09-647In 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.
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Market highlights February 4: Cosmos is the biggest top 20 gainer
The crypto market was seen higher over the past 24 hours, as all top…
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Investors Pile Into Opyn’s ‘Crab Strategy’ to Profit from a Sideways Market
Grayscale Considering 25 More Crypto Assets for Investment Products – Altcoins Bitcoin News
Grayscale, the world’s largest crypto asset supervisor, is contemplating 25 extra crypto belongings for funding merchandise. With the newest additions, the corporate’s checklist of cash into consideration has grown to 43. “The process of creating an investment product similar to the ones we already offer is a complex, multifaceted process,” stated Grayscale. 25 Crypto Assets […]
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Crypto Platform, Uphold, Lists New Assets Including SHIB
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Value Locked in Defi Slides 21% in 2 Weeks, $200B TVL Still 10x Larger Than This Time Last Year
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, […]
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