Annual rent operating lease aggregate after increase.

No definition available.

Name:	qttb_AnnualRentOperatingLeaseAggregateAfterIncrease
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Commercial milestone payment payable.

+ References

No definition available.

+ Details

Name:	qttb_CommercialMilestonePaymentPayable
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Commitment and contingencies.

+ References

No definition available.

+ Details

Name:	qttb_CommitmentAndContingenciesLineItems
Namespace Prefix:	qttb_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Development and sales milestone payment payable.

+ References

No definition available.

+ Details

Name:	qttb_DevelopmentAndSalesMilestonePaymentPayable
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Development Milestone Payment Payable

+ References

No definition available.

+ Details

Name:	qttb_DevelopmentMilestonePaymentPayable
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Future minimum lease payment due under this sublease

+ References

No definition available.

+ Details

Name:	qttb_FutureMinimumLeasePaymentDueUnderThisSublease
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Lessee operating lease not yet commenced increase in percentage of base rent.

+ References

No definition available.

+ Details

Name:	qttb_LesseeOperatingLeaseNotYetCommencedIncreaseInPercentageOfBaseRent
Namespace Prefix:	qttb_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

percentage of sublicense fees.

+ References

No definition available.

+ Details

Name:	qttb_PercentageOfSublicenseFees
Namespace Prefix:	qttb_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Period of obligation to pay royalties.

+ References

No definition available.

+ Details

Name:	qttb_PeriodOfObligationToPayRoyalties
Namespace Prefix:	qttb_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Royalty as a percentage of net sales.

+ References

No definition available.

+ Details

Name:	qttb_RoyaltyAsAPercentageOfNetSales
Namespace Prefix:	qttb_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Sublease aggregate base rent obligation.

+ References

No definition available.

+ Details

Name:	qttb_SubleaseAggregateBaseRentObligation
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Upfront payment made.

+ References

No definition available.

+ Details

Name:	qttb_UpfrontPaymentMade
Namespace Prefix:	qttb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Area of a real estate property.

+ References

No definition available.

+ Details

Name:	us-gaap_AreaOfRealEstateProperty
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of incentive received by lessee from lessor.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 840
-SubTopic 20
-Name Accounting Standards Codification
-Section 25
-Paragraph 6
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481178/840-20-25-6

Reference 2: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 840
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481475/840-20-55-3

Reference 3: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 840
-SubTopic 20
-Name Accounting Standards Codification
-Section 25
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481178/840-20-25-1

Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef
-Name Accounting Standards Codification
-Section 30
-Paragraph 5
-Subparagraph (a)
-SubTopic 10
-Topic 842
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479924/842-10-30-5

+ Details

Name:	us-gaap_IncentiveFromLessor
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Date which lease or group of leases is set to expire, in YYYY-MM-DD format.

+ References

No definition available.

+ Details

Name:	us-gaap_LeaseExpirationDate1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

- Definition

Term of lessee's operating lease renewal for lease not yet commenced, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478964/842-20-50-3

+ Details

Name:	us-gaap_LesseeOperatingLeaseLeaseNotYetCommencedRenewalTerm1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Definition

Present value of lessee's discounted obligation for lease payments from operating lease, classified as current.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479041/842-20-45-1

+ Details

Name:	us-gaap_OperatingLeaseLiabilityCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Weighted average discount rate for operating lease calculated at point in time.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 53
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479589/842-20-55-53

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 4
-Subparagraph (g)(4)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478964/842-20-50-4

+ Details

Name:	us-gaap_OperatingLeaseWeightedAverageDiscountRatePercent
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Weighted average remaining lease term for operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 53
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479589/842-20-55-53

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 4
-Subparagraph (g)(3)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478964/842-20-50-4

+ Details

Name:	us-gaap_OperatingLeaseWeightedAverageRemainingLeaseTerm1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of expense for research and development. Includes, but is not limited to, cost for computer software product to be sold, leased, or otherwise marketed and writeoff of research and development assets acquired in transaction other than business combination or joint venture formation or both. Excludes write-down of intangible asset acquired in business combination or from joint venture formation or both, used in research and development activity.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 280
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 48
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482785/280-10-55-48

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 985
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481283/985-20-50-2

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 730
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482916/730-10-50-1

Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 912
-SubTopic 730
-Name Accounting Standards Codification
-Section 25
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479532/912-730-25-1

+ Details

Name:	us-gaap_ResearchAndDevelopmentExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The amount of an asset, typically cash, provided to a counterparty to provide certain assurance of performance by the entity pursuant to the terms of a written or oral agreement, such as a lease.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(17))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_SecurityDeposit
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Carrying amount (including both current and noncurrent portions) of accrued known and estimated losses incurred as of the balance sheet date for which no insurance coverage exists, and for which a claim has been made or is probable of being asserted, typically arising from workmen's compensation-type of incidents and personal injury to nonemployees from accidents on the entity's property.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(24))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_SelfInsuranceReserve
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Number of shares of stock issued during the period as part of a transaction to acquire assets that do not qualify as a business combination.

+ References

No definition available.

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesPurchaseOfAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_TypeOfArrangementAxis=qttb_LicenseAgreementWithTheUniversityOfColoradoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_TypeOfArrangementAxis=qttb_LicenseAgreementWithBristolMayersEquibCompanyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	qttb_TrancheAxis=qttb_TrancheThreeMilestoneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementClassOfStockAxis=qttb_SeriesARedeemablePreferredStockMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_StatementGeographicalAxis=qttb_WalthamMassauchetsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_BalanceSheetLocationAxis=qttb_RestrictedCashAndCashEquivalentsNonCurrentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Commitments and Contingencies - Additional Information (Detail) $ in Thousands	1 Months Ended	3 Months Ended		4 Months Ended	12 Months Ended
	Dec. 31, 2021 USD ($) ft²	Mar. 31, 2025 USD ($)	Mar. 31, 2024 USD ($)	Dec. 31, 2019 USD ($) shares	Dec. 31, 2021 USD ($) ft²	Dec. 31, 2024 USD ($)	Jul. 31, 2024 USD ($)	Sep. 30, 2019 USD ($)
Commitment And Contingencies [Line Items]
Lease expiration date					Dec. 31, 2031
Operating lease liability, current		$ 631				$ 612
Research and development expenses		7,124	$ 9,841
Executive insurance reserve		5,000
License Agreement With The University Of Colorado [Member]
Commitment And Contingencies [Line Items]
Development and sales milestone payment payable		$ 2,200
Percentage of sublicense fees		15.00%
Period of obligation to pay royalties		20 years
Research and development expenses		$ 0	$ 0
License Agreement With Bristol Mayers Equib Company [Member]
Commitment And Contingencies [Line Items]
Percentage of sublicense fees				60.00%
Period of obligation to pay royalties				12 years
Upfront payment made				$ 8,000
Commercial milestone payment payable				$ 215,000
Royalty as a percentage of sales				10.00%
Development Milestone Payment Payable							$ 4,000
License Agreement With Bristol Mayers Equib Company [Member] \| Maximum [Member] \| Tranche Three [Member]
Commitment And Contingencies [Line Items]
Development and sales milestone payment payable								$ 49,000
License Agreement With Bristol Mayers Equib Company [Member] \| Minimum [Member] \| Tranche Three [Member]
Commitment And Contingencies [Line Items]
Development and sales milestone payment payable								$ 32,000
License Agreement With Bristol Mayers Equib Company [Member] \| Series A Redeemable Preferred Stock [Member]
Commitment And Contingencies [Line Items]
Stock issued during period shares purchase of assets \| shares				318,278
Waltham Massauchets [Member]
Commitment And Contingencies [Line Items]
Office space leased \| ft²	15,000				15,000
Lessee, operating lease, lease not yet commenced, renewal term	5 years				5 years
Sublease aggregate base rent obligation	$ 1,000				$ 1,000
Percentage increase in initial annual base rent per square foot.	3.00%
Annual Rent Operating lease Aggregate After Increase	$ 11,100
Security deposit		$ 600
Operating lease weighted average remaining lease term		6 years 9 months
Operating lease weighted average discount rate		7.50%
Future minimum lease payment due under this sublease		$ 1,000
Waltham Massauchets [Member] \| Restricted Cash And Cash Equivalents Non Current [Member]
Commitment And Contingencies [Line Items]
Lessee tenant improvement allowance		$ 400