Tag: degree

Intel Software and Firmware Updates Patch 18 High-Severity Vulnerabilities

Cyber SecurityFebruary 17, 2022

Intel has released software and firmware updates to address many vulnerabilities found in the company’s products.

The chipmaker last week released 22 security advisories, including seven that have an overall severity rating of “high.”

Malicious Emails Can Crash Cisco Email Security Appliances

Cyber SecurityFebruary 17, 2022

Cisco this week informed customers that its Email Security Appliance (ESA) product is affected by a high-severity denial of service (DoS) vulnerability that can be exploited using specially crafted emails.

Ransomware-Related Data Leaks Nearly Doubled in 2021: Report

Cyber SecurityFebruary 16, 2022

There was a significant increase in ransomware-related data leaks and interactive intrusions in 2021, according to the 2022 Global Threat Report released on Tuesday by endpoint security firm CrowdStrike.

From Equipment Financing to Product Quality, African American Executives Take the Finovate Stage

FintechFebruary 15, 2022

As part of our commemoration of African American History Month, our Alumni Profile feature for this week showcases two African Americans who represented their companies at Finovate events in 2021. Nathan Gibbons Nathan Gibbons is Chief Operating Officer of Innovation Finance USA, the company behind QuickFi, a fully digital mobile, self-service business equipment financing platform. Read more...

The post From Equipment Financing to Product Quality, African American Executives Take the Finovate Stage appeared first on Finovate.

Swissport Investigating Ransomware Group’s Data Leak Claims

Cyber SecurityFebruary 15, 2022

A ransomware group has taken credit for the recent attack targeting aviation services company Swissport, and the cybercriminals claim to have stolen more than one terabyte of data.

Lower Bounds on Stabilizer Rank

QuantumFebruary 15, 2022

Quantum 6, 652 (2022).

https://doi.org/10.22331/q-2022-02-15-652

The $textit{stabilizer rank}$ of a quantum state $psi$ is the minimal $r$ such that $left| psi right rangle = sum_{j=1}^r c_j left|varphi_j rightrangle$ for $c_j in mathbb{C}$ and stabilizer states $varphi_j$. The running time of several classical simulation methods for quantum circuits is determined by the stabilizer rank of the $n$-th tensor power of single-qubit magic states. We prove a lower bound of $Omega(n)$ on the stabilizer rank of such states, improving a previous lower bound of $Omega(sqrt{n})$ of Bravyi, Smith and Smolin [7]. Further, we prove that for a sufficiently small constant $delta$, the stabilizer rank of any state which is $delta$-close to those states is $Omega(sqrt{n}/log n)$. This is the first non-trivial lower bound for approximate stabilizer rank. Our techniques rely on the representation of stabilizer states as quadratic functions over affine subspaces of $mathbb{F}_2^n$, and we use tools from analysis of boolean functions and complexity theory. The proof of the first result involves a careful analysis of directional derivatives of quadratic polynomials, whereas the proof of the second result uses Razborov-Smolensky low degree polynomial approximations and correlation bounds against the majority function.