<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-11-09</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001843762</issuerCik>
        <issuerName>EQRx, Inc.</issuerName>
        <issuerTradingSymbol>EQRX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001501581</rptOwnerCik>
            <rptOwnerName>MERKSAMER SAMUEL J.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>EQRX, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>50 HAMPSHIRE STREET</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02139</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>4.95</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2023-11-09</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>101010</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F2"/>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2032-09-30</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>101010</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">This Form 4 reports securities disposed of pursuant to the terms of the Agreement and Plan of Merger dated July 31, 2023 (the &quot;Merger Agreement&quot;), by and among the Issuer, Revolution Medicines, Inc. (&quot;Revolution Medicines&quot;), Equinox Merger Sub, Inc., a direct, wholly owned subsidiary of Revolution Medicines (&quot;Merger Sub I&quot;), and Equinox Merger Sub II LLC, a direct, wholly owned subsidiary of Revolution Medicines (&quot;Merger Sub II&quot;), pursuant to which Merger Sub I merged with and into the Issuer effective as of November 9, 2023 (the &quot;Effective Time&quot;), with the Issuer surviving such merger as a direct, wholly owned subsidiary of Revolution Medicines (the &quot;First Merger&quot;), and promptly after the First Merger, the Issuer merged with and into Merger Sub II, with Merger Sub II surviving such merger as a direct, wholly owned subsidiary of Revolution Medicines.</footnote>
        <footnote id="F2">Pursuant to the Merger Agreement, each Issuer stock option that was outstanding and unexercised became fully vested and exercisable as of immediately prior to the Effective Time.</footnote>
        <footnote id="F3">At the Effective Time, each Issuer stock option that was outstanding immediately prior to the Effective Time and had an exercise price per share less than $2.16 (an &quot;In-the-Money Option&quot;) was cancelled and converted automatically into the right to receive a number of shares of Revolution Medicines common stock equal to the quotient of (i) the product of (a) the number of shares of Issuer common stock subject to the In-the-Money Option immediately prior to the Effective Time, multiplied by (b) the excess of $2.16 over the exercise price of such In-the-Money Option, divided by (ii) $19.4690, less the number of shares of Revolution Medicines common stock having a fair market value as of the Effective Time equal to the amount necessary to satisfy the award holder's tax withholding obligations. (All Issuer stock options that did not constitute In-the-Money Options were terminated at the Effective Time for no consideration).</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William Collins, Attorney-in-Fact</signatureName>
        <signatureDate>2023-11-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
