Constructive Separations from Gate Elimination

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Carmosino, Marco, Dang, Ngu, Jackman, Tim
Format:	Preprint
Published:	2026
Subjects:	Computational Complexity
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Simple Circuit Extensions for XOR in PTIME
by: Carmosino, Marco, et al.
Published: (2025)

Constructive Separations and Their Consequences
by: Chen, Lijie, et al.
Published: (2022)

On the Number of Quantifiers Needed to Define Boolean Functions
by: Carmosino, Marco, et al.
Published: (2024)

Multi-Structural Games and Beyond
by: Carmosino, Marco, et al.
Published: (2023)

Parallel Play Saves Quantifiers
by: Carmosino, Marco, et al.
Published: (2024)

Gadgetless Lifting Beats Round Elimination: Improved Lower Bounds for Pointer Chasing
by: Mao, Xinyu, et al.
Published: (2024)

Eliminating Majority Illusions
by: Fioravantes, Foivos, et al.
Published: (2025)

MaxMin Separation Problems: FPT Algorithms for $st$-Separator and Odd Cycle Transversal
by: Gaikwad, Ajinkya, et al.
Published: (2025)

Quantifier Elimination Meets Treewidth
by: Wu, Hao, et al.
Published: (2026)

Separations in Proof Complexity and TFNP
by: Göös, Mika, et al.
Published: (2022)

Separations above TFNP from Sherali-Adams Lower Bounds
by: Fleming, Noah, et al.
Published: (2026)

Separations between Combinatorial Measures for Transitive Functions
by: Chakraborty, Sourav, et al.
Published: (2021)

A Hierarchy of Tinhofer Graphs: Separations and Membership Testing
by: Bhattacharjee, Sutanay, et al.
Published: (2026)

An Exponential Separation between Deterministic CDCL and DPLL Solvers
by: Samar, Sahil, et al.
Published: (2026)

Scheme-theoretic Approach to Computational Complexity I. The Separation of P and NP
by: Çivril, Ali
Published: (2021)

Symport/Antiport P Systems with Membrane Separation Characterize P^(#P)
by: Ducros, Vivien, et al.
Published: (2025)

Exponential Separation Between Powers of Regular and General Resolution Over Parities
by: Bhattacharya, Sreejata Kishor, et al.
Published: (2024)

An Improved Construction of Variety-Evasive Subspace Families
by: Andrews, Robert, et al.
Published: (2026)

Relaxed vs. Full Local Decodability with Few Queries: Equivalence and Separations for Linear Codes
by: Grigorescu, Elena, et al.
Published: (2025)

New Techniques for Constructing Rare-Case Hard Functions
by: Nareddy, Tejas, et al.
Published: (2024)

Bounds on Eventually Universal Quantum Gate Sets
by: Karamchedu, Chaitanya, et al.
Published: (2025)

Sublinear Time Algorithms for Abelian Group Isomorphism and Basis Construction
by: Bshouty, Nader H.
Published: (2025)

Symmetric Algebraic Circuits and Homomorphism Polynomials
by: Dawar, Anuj, et al.
Published: (2025)

Toward Separating QMA from QCMA with a Classical Oracle
by: Zhandry, Mark
Published: (2024)

Scheme-theoretic Approach to Computational Complexity II. The Separation of P and NP over $\mathbb{C}$, $\mathbb{R}$, and $\mathbb{Z}$
by: Çivril, Ali
Published: (2021)

Separating Quantum and Classical Advice with Good Codes
by: Bostanci, John, et al.
Published: (2026)

Oracle Separations for the Quantum-Classical Polynomial Hierarchy
by: Agarwal, Avantika, et al.
Published: (2024)

Separations in query complexity for total search problems
by: Ben-David, Shalev, et al.
Published: (2024)

Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions
by: Notarantonio, Hadrien, et al.
Published: (2023)

Improved Circuit Lower Bounds and Quantum-Classical Separations
by: Grewal, Sabee, et al.
Published: (2024)

Coherence in Property Testing: Quantum-Classical Collapses and Separations
by: Jeronimo, Fernando Granha, et al.
Published: (2024)

Exponential Separation Criteria for Quantum Iterative Power Algorithms
by: Czégel, András, et al.
Published: (2025)

Gate-based quantum simulation of Gaussian bosonic circuits on exponentially many modes
by: Barthe, Alice, et al.
Published: (2024)

Maximum Separation of Quantum Communication Complexity With and Without Shared Entanglement
by: Hasegawa, Atsuya, et al.
Published: (2025)

Quantum versus Classical Separation in Simultaneous Number-on-Forehead Communication
by: Yang, Guangxu, et al.
Published: (2025)

Polynomial-Time Classical Simulation of Noisy Quantum Circuits with Naturally Fault-Tolerant Gates
by: Nelson, Jon, et al.
Published: (2024)

The Jacobi Factoring Circuit: Quantum Factoring with Near-Linear Gates and Sublinear Space and Depth
by: Kahanamoku-Meyer, Gregory D., et al.
Published: (2024)

The Interplay Between Domination and Separation in Graphs
by: Chakraborty, Dipayan, et al.
Published: (2026)

Exponential Separation of Quantum and Classical One-Way Numbers-on-Forehead Communication
by: Yang, Guangxu, et al.
Published: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"f7596c8ecc4aa093495e4fb2f55fe2f0"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790883934.7068 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f7596c8ecc4aa093495e4fb2f55fe2f0" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=f7596c8ecc4aa093495e4fb2f55fe2f0; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"63394"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_23958/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_23958/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790883934.7023
REQUEST_TIME	1790883934

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"f7596c8ecc4aa093495e4fb2f55fe2f0"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790883934.7068 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f7596c8ecc4aa093495e4fb2f55fe2f0" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=f7596c8ecc4aa093495e4fb2f55fe2f0; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"63394"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_23958/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_23958/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790883934.7023
REQUEST_TIME	1790883934

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: